Among uses of automated teller machines ATMs 93 use ATMs to

Among uses of automated teller machines (ATMs), 93% use ATMs to withdraw cash and 33%use them to check their account balances. Suppose that 97% use ATMs to ethier withdraw cash or check their account balance (or both). Given a woman who uses an ATM to checek her account balance, whats the probability that she also uses an ATM to get cash?

Solution

Among uses of automated teller machines (ATMs), 93% use ATMs to withdraw cash and 33%use them to check their account balances. Suppose that 97% use ATMs to ethier withdraw cash or check their account balance (or both). Given a woman who uses an ATM to checek her account balance, whats the probability that she also uses an ATM to get cash?

C=cash withdrawn

B= Balance

P(C) = 0.93

P( B) =0.33

P( C or B) =0.97

P( C and B) = P(C)+P(B)-P(C OR B) =0.93+0.33-0.97=0.29

P( C/B) =P( C and B)/P(B) =0.29/0.33=0.8788

THE required probability =0.8788