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Probability and StatisticsQuestion and Answers: Page 9

Question Number 142489 Answers: 0 Comments: 3

In a certain urn there are 3 blue, 2red and 5 yellow marbles. Calculate probability that atmost 2 marbles will be red if 3 marbles are drawn without replacement

$In a certain urn there are 3 blue,$ $2 red and 5 yellow marbles .$ $Calculate probability that atmost$ $2 marbles will be red if 3 marbles$ $are drawn without replacement$

Question Number 141692 Answers: 1 Comments: 0

Daniel and Bruno are playing with perfect cube Daniel is the first player if he obtains 1 or 2 he wins the game and the party stopping or else Bruno plays and if he have {3.4.6} Bruno won and the game stopping Determine the probability that Daniel winand the probability that Bruno win

$D a n i e l a n d B r u n o a r e p l a y i n g w i t h p e r f e c t c u b e$ $D a n i e l i s t h e f i r s t p l a y e r i f h e o b t a i n s 1 o r 2$ $h e w i n s t h e g a m e a n d t h e p a r t y s t o p p i n g$ $o r e l s e B r u n o p l a y s a n d i f h e h a v e {3.4.6} B r u n o w o n a n d t h e g a m e s t o p p i n g$ $D e t e r m i n e t h e p r o b a b i l i t y t h a t D a n i e l w i n a n d t h e p r o b a b i l i t y t h a t B r u n o w i n$

Question Number 141633 Answers: 0 Comments: 0

1<a<b ,prove that : b^n = Σ_(k=0) ^n (−1)^k C_n ^k a^((ln(Σ_(p=0) ^(n−k) C_(n−k) ^p a^(n−p) b^p ))/(ln(a)))

$1 < a < b, prove that :$ $b^{n} = \underset{k = 0}{\sum^{n}} {(- 1)}^{k} C_{n}^{k} a^{\frac{l n (\underset{p = 0}{\sum^{n - k}} C_{n - k}^{p} a^{n - p} b^{p})}{l n (a)}}$

Question Number 141409 Answers: 1 Comments: 0

Prove that ∀n∈N ∫^( n+1) _n lnt dt ≤ ln(n+(1/2))

$Prove that$ $\forall n \in N {\int_{n}}^{n + 1} lnt dt ⩽ \ln (n + \frac{1}{2})$

Question Number 141383 Answers: 1 Comments: 0

sin^2 (((f(x))/2))=1−(1/2)(√(1−x^2 )) find f(x)

$\sin^{2} (\frac{f (x)}{2}) = 1 - \frac{1}{2} \sqrt{1 - x^{2}}$ $find f (x)$

Question Number 140596 Answers: 0 Comments: 0

A class contains 20 students of whom 2 are men and 8 are women. A random sample of 2 students is taken from the class without replacement. (random imlies that each student has an equal chance of appearing in the sample) (a) Use a diagram to illustrate the possible otcomes. (b)Consider how that the probabiliies would change if the sampling was with replacement.

$A class contains 20 students of whom 2$ $are men and 8 are women . A random$ $sample of 2 students is taken from the$ $class without replacement . (random$ $imlies that each student has an equal$ $chance of appearing in the sample)$ $(a) Use a diagram to illustrate the possible$ $otcomes .$ $(b) Consider how that the$ $probabiliies would change if the$ $sampling was with replacement .$

Question Number 139868 Answers: 2 Comments: 0

Question Number 139232 Answers: 1 Comments: 4

A man has ′n′ pair of black shoes and ′m′ pairs of brown shoes. Man hurriedly wear two shoes. What is probability that both of them are black?

$A m a n h a s^{'} n^{'} p a i r o f b l a c k s h o e s a n d^{'} m^{'}$ $p a i r s o f b r o w n s h o e s . M a n h u r r i e d l y w e a r$ $t w o s h o e s . W h a t i s p r o b a b i l i t y t h a t b o t h o f$ $t h e m a r e b l a c k ?$

Question Number 138960 Answers: 0 Comments: 4

X and Y stand in a line, at random with 10 other peoples. What is the probability that there will be exactly 4 persons between X and Y?

$X a n d Y s t a n d i n a l i n e, a t r a n d o m w i t h 10 o t h e r p e o p l e s .$ $W h a t i s t h e p r o b a b i l i t y t h a t t h e r e w i l l b e e x a c t l y 4 p e r s o n s$ $b e t w e e n X a n d Y ?$

Question Number 138763 Answers: 0 Comments: 0

Make arbitrary movements between the 7 people sitting around the table so that at least one of the people sitting next to you is not a Mathematician..

$M a k e a r b i t r a r y m o v e m e n t s b e t w e e n$ $t h e 7 p e o p l e s i t t i n g a r o u n d t h e t a b l e$ $s o t h a t a t l e a s t o n e o f t h e p e o p l e s i t t i n g$ $n e x t t o y o u i s n o t a M a t h e m a t i c i a n . .$

Question Number 137189 Answers: 0 Comments: 0

Question Number 136805 Answers: 0 Comments: 0

Question Number 136605 Answers: 1 Comments: 0

Question Number 136375 Answers: 0 Comments: 1

A bowl contains carefully shredded confetti, 6 of which are blue and the remaining 12 are red. Each piece of confetti is either circular triangular or rectangular in shape and are in the ratio 1:3:2 for each colour respectively. If they are thrown up thrice in a certain competition and a contestant picks one at random on each throw, what is the probability that he picks a_ (a) different shape on each throw?_ (b) triangular piece which is red in colour on the second throw?_ (c) blue piece of confetti at least twice?

$A bowl contains carefully shredded$ $confetti, 6 of which are blue and the$ $remaining 12 are red .$ $Each piece of confetti is either circular$ $triangular or rectangular in shape and$ $are in the ratio 1 : 3 : 2 for each colour$ $respectively . If they are thrown up$ $thrice in a certain competition and a$ $contestant picks one at random on$ $each throw, what is the probability$ $that he picks a_{}$ $(a) different shape on each throw ?_{}$ $(b) triangular piece which is red in$ $colour on the second throw ?_{}$ $(c) blue piece of confetti at least$ $twice ?$

Question Number 136151 Answers: 0 Comments: 0

If A and B toss n+1 and n fairs coins respectively, what is the probability P_n that A gets more heads than B

$I f A a n d B t o s s n + 1 a n d n f a i r s$ $c o i n s r e s p e c t i v e l y, w h a t i s t h e$ $p r o b a b i l i t y P_{n} t h a t A g e t s m o r e$ $h e a d s t h a n B$

Question Number 136109 Answers: 1 Comments: 0

A particle moving on the inside surface of fixed spherical bolw of radius 2 m. It describes a horizontal circle at distance of (6/5) m below the centre of the bowl. (a) find the speed of the particle (b))the period of the motion

$A particle moving on the inside surface of fixed spherical bolw of$ $radius 2 m . It describes a horizontal circle at distance of \frac{6}{5} m below$ $the centre of the bowl .$ $(a) find the speed of the particle$ $(b)) the period of the motion$

Question Number 135998 Answers: 0 Comments: 0

A bowl contains carefully shredded confetti, 6 of which are blue and the remaining 12 are red. Each piece of confetti is either circular, triangular or rectangular in shape and are in the ratio 1:3:2, for each colour, respectively. If they are thrown up thrice in a competition and contestant picks one at random on each throw, what is the probability that (a) he picks a different shape on each throw? (b) on the second throw, he picks a triangular piece which is red in colour? (c) he picks a blue piece of confetti at least twice?

Question Number 135861 Answers: 1 Comments: 0

Probability Digits from 1 to 9 are randomly placed to form a 9-digit number. What is the probability that the number is divisible by 18?

$P r o b a b i l i t y$ Digits from 1 to 9 are randomly placed to form a 9-digit number. What is the probability that the number is divisible by 18?

Question Number 135352 Answers: 1 Comments: 0

Probability Urn I contains 5 red and 3 green balls. Urn II contains 2 red and 7 green balls. One balls is transferred (at random) from urn I to urn II . After stirring , 1 ball is chosen from urn II. What is probability that the (final) ball is green?

$\underset{―}{Probability}$ $Urn I contains 5 red and 3 green balls . Urn II$ $contains 2 red and 7 green balls . One balls$ $is transferred (at random) from urn I to urn II$ $. After stirring, 1 ball is chosen from urn II .$ $What is probability that the (final) ball is$ $green ?$

Question Number 135217 Answers: 1 Comments: 5

Question Number 135181 Answers: 1 Comments: 0

A bag has 4 red marbles, 5 white marbles , and 6 blue marbles. Three marbles are drawn from the bag, (without replacement) What is the probability that they are all the same color ?

$A bag has 4 red marbles, 5 white$ $marbles, and 6 blue marbles . Three$ $marbles are drawn from the bag, (without$ $replacement) What is the probability$ $that they are all the same color ?$

Question Number 134993 Answers: 0 Comments: 0

Question Number 134623 Answers: 1 Comments: 0

PRobability An urn contains 3 red balls, 2 green balls and 1 yellow ball. Three balls are selected at random and without replacement from the urn. What is the probability that at least 1 color is not drawn? by : Bobhans

$PR obability$ An urn contains 3 red balls, 2 green balls and 1 yellow ball. Three balls are selected at random and without replacement from the urn. What is the probability that at least 1 color is not drawn? by : Bobhans

Question Number 134622 Answers: 1 Comments: 0

Probability Initially there are 4 red balls and 3 yellow balls in a bag, however 1 ball is lost accidentally. Amy draws 2 balls from the bag at random and both of the balls drawn are red. What is the probability of the lost ball is the yellow one?

$Probability$ Initially there are 4 red balls and 3 yellow balls in a bag, however 1 ball is lost accidentally. Amy draws 2 balls from the bag at random and both of the balls drawn are red. What is the probability of the lost ball is the yellow one?

Question Number 134498 Answers: 2 Comments: 0

Consider a 12-letter word made up of 8 b’s and 4 a’s. what is the probability that randomly shuffling its letters lets exactly two a’s come together and two other a’s be separated (as in the following example: baababbabbbb)?

Question Number 134472 Answers: 0 Comments: 2

Badu took a test consisting of 3 multiple choice questions with 4 answer choices and 5 true-false type questions. If Badu answers all the questions by guessing randomly, the chances of him answering correctly are only 2 questions

Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10 Pg 11 Pg 12 Pg 13

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