Need help on this Assume that you have 2 unbiased dice, a yellow and a green one

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Need help on this

Assume that you have 2 unbiased dice, a yellow and a green one. Let A, B and C be 3 events, such that: A: Both the yellow and green die roll up an odd number. B: The green die rolls 5 C: The outcome of the yellow die is smaller than or equal to 3 What is the probability of event A? A. P(A)=1/3 B. P(A)-1/2 O C. P(A)- D. PA)-1/4 Reset Selection uestion 2 of 4 2.5 Points Assume that you have 2 unbiased dice, a yellow and a green one. Let A, B and C be 3 events, such that: A: Both the yellow and green die roll up an odd number. B: The green die rolls 5 C: The outcome of the yellow die is smaller than or equal to 3. What is P(AB)? O A. P(A|B)-1/2 O B. P(A| B)=1/4 C. P(AIB)-1/3

Explanation / Answer

Solution:

Given,

two dice, yellow ang green.

Total number of possibilities = 6 * 6 = 36

( a ) Option D ( P( A ) = 1 / 4 )

Event A = Both yellow and green die roll up an odd number

total number of possibilities of occurance of event A = 3 * 3 = 9

P ( A ) = 9 / 36 = 1 / 4

( b ) Option ( A ) ( P( A / B ) = 1 / 2 )

Event A = Both yellow and green die roll up an odd number

Event B = Green die roll a 5

P( A / B ) = 3 / 6 = 1 / 2

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