Math Question and Answers


Question and Answers Forum

All Questions Topic List
Permutation and Combination Questions
Previous in All Question Next in All Question
Previous in Permutation and Combination Next in Permutation and Combination
Question Number 136417 by I want to learn more last updated on 21/Mar/21

	Answered by EDWIN88 last updated on 22/Mar/21
	$even number = {2,4} , odd number={1,3,5} the sum of the number on two balls have probabability = ((1+3)/C_2 ^5 ) = (2/5)$
	$even number = {2, 4}, odd number = {1, 3, 5}$ $the sum of the number on two balls$ $have probabability = \frac{1 + 3}{C_{2}^{5}} = \frac{2}{5}$
	Answered by nadovic last updated on 22/Mar/21
	$The sum will be even if and only if both numbers are even or both are odd. S^ ample Space, S = {1, 2, 3, 4, 5} Odd numbers, D = {1, 3, 5} E_ ven numbers, E = {2, 4} (a) P(sum is even) = ((C_2 +^2 C_2 )/(C_2 )) = (2/5) (b) Even Sum, V = {4, 6, 8} E∩V = {4} ⇒ P(E/V) = ((n(E∩V))/(n(V))) P(E/V) = (1/3)$
	$T h e s u m w i l l b e e v e n i f a n d o n l y i f$ $b o t h n u m b e r s a r e e v e n o r b o t h a r e o d d .$ $\overset{}{S a m p l e} Space, S = {1, 2, 3, 4, 5}$ $Odd numbers, D = {1, 3, 5}$ $\underset{}{E v e n} numbers, E = {2, 4}$ $(a) P (s u m i s e v e n) = \frac{C_{2} +^{2} C_{2}}{C_{2}}$ $= \frac{2}{5}$ $(b) Even Sum, V = {4, 6, 8}$ $E \cap V = {4}$ $\Rightarrow P (E / V) = \frac{n (E \cap V)}{n (V)}$ $P (E / V) = \frac{1}{3}$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum