Question

The probability that an adult possesses a credit card is .70. A researcher selects two adults at random. By assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is:

Answer 1

Answer: 0.21

Explanation:

We know that if two events A and B are independent , then the probability of A and B is given by :-

`\text{P and B}=P(A)* P(B)`

Given: The probability that an adult possesses a credit card P(A)= 0 .70

The probability that an adult does not possess a credit card
`P(B)= 1-P(A)=0 .30`

By assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is given by :-

`0.70*0.30=0.21`

Hence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is 0.21.