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

Step-by-step explanation:

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

$\text{P and B}=P(A)\times P(B)$

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 :-

$0.70\times0.30=0.21$

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