Question

According to the general equation for conditional probability, if P(A^B') = 1/6 and P(B') = 7/24, what is P(A | B')?

a) 1/6
b) 7/24
c) 4/7
d) 1/4

Answer 1

Using the formula for conditional probability, P(A | B') is calculated as 4/7 by dividing P(A AND B') by P(B'). Therefore, the correct answer is c) 4/7.

Step-by-step explanation:

The question is asking to find the conditional probability, which is the probability of an event A occurring given that another event B has already occurred and is described by the formula P(A | B') = P(A AND B') / P(B'), where B' is the complement of event B.

Given P(A AND B') = 1/6 and P(B') = 7/24, we can use the formula to find P(A | B'):

P(A | B') = P(A AND B') / P(B')

= (1/6) / (7/24)

= (1/6) * (24/7)

= 4/7

Therefore, the correct answer is c) 4/7.