A-and-B-throw-with-3-dice-if-A-throws-a-sum-of-16-points-the-probability-of-B-throwing-a-higher-sum-is-pls-solve-

Question Number 180735 by srikanth2684 last updated on 16/Nov/22

A a n d B t h r o w w i t h 3 d i c e . i f A

t h r o w s a s u m o f 16 p o i n t s, t h e

p r o b a b i l i t y o f B t h r o w i n g

a h i g h e r s u m i s

p l s s o l v e

Answered by Acem last updated on 16/Nov/22

P (B, > s u m) = \frac{4}{216_{6^{3}}} = \frac{1}{54}

; (6, 6, 6), {(6, 6, 5)}_{h a s 3 c a s e s}

Commented by Acem last updated on 16/Nov/22

{Y o u}^{'} r e w e l c o m e!

B^{'} s d i c e r o l l i s i n d e p e n d e n t o f A^{'} s o n e, s o {i t}^{'} s n o t

a c o n d i t i o n a l p r o b a b i l i t y, i f y o u g o t (6, 6, 1) {i t}^{'} s

l i k e l y t h a t i g e t t h e s a m e r e s u l t . Y o u r t h r o w

{d o e s n}^{'} t a f f e c t m i n e .

S a m p l e s p a c e

∙ f o r o n e d i c e h a s 6 r e s u l t s

∙ f o r t w o d i c e s 6 \times 6 r e s .

{(1, 1), (1, 2) \dots (1, 6)

(2, 1), \dots \dots \dots . . (2, 6)

.

.

(6, 1) \dots \dots \dots \dots (6, 6)

∙ f o r 3 d i c e s : 6 \times 6 \times 6 r e s .

Commented by srikanth2684 last updated on 16/Nov/22

t h a n k y o u

i h a v e a d o u b t t h a t w h a t i s s a m p l e

s p a c e ? i s i t a c o n d i t o n a l p r o b a b i l i t y ?

Commented by srikanth2684 last updated on 17/Nov/22

t h a n k y o u