Question

A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is an odd number
Event B = the second digit is an odd number
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

A. 3/8
B. 3/7
C. 1/2
D. 4/7

Answer 1

Answer:

3/7 (b)

Step-by-step explanation:

Answer 2

If a combination is picked at random with each possible locker combination  being equally likely, the conditional probability P(B|A) is 3/7.

What is conditional probability?

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome.

Probability of event A = P(the first digit is an odd number) = 4/8

Given that event A has already occurred, we need to calculate the probability of the occurrence of probability B.

The total possible outcomes are 7 (out of 8 one is used up in event A).

Favorable outcomes are 3 (out of 4 one is used up in event A).

P(B|A) = 3/7

 

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