MATH SOLVE

5 months ago

Q:
# 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:

Accepted Solution

A:

Answer: 0.21Step-by-step explanation:We know that if two events A and B are independent , then the probability of A and B is given by :-[tex]\text{P and B}=P(A)\times P(B)[/tex]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[tex]P(B)= 1-P(A)=0 .30[/tex]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 :-[tex]0.70\times0.30=0.21[/tex]Hence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is 0.21.