Question

question 7 of 25
you roll two number cubes.
let event ( a=) the number rolled on the first cube is 6.
let event ( b=) the sum of the numbers rolled is 11.
what does ( p(b|a) ) represent?
a. the probability that the sum is not 11
b. the probability that the first number cube shows a 6, given that the sum is 11
c. the probability that the sum is 11, given that the first number cube shows a 6
d. the probability that the first cube does not show a 6

Explanation:

In probability, the notation \(P(B|A)\) represents the conditional probability of event \(B\) occurring given that event \(A\) has already occurred. Here, event \(A\) is "the number rolled on the first cube is 6" and event \(B\) is "the sum of the numbers rolled is 11". So \(P(B|A)\) is the probability that the sum is 11, given that the first number cube shows a 6.

Answer:

C. The probability that the sum is 11, given that the first number cube shows a 6