Question

The Jack In The Box franchise in Bangor, Maine, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order french fries is 0.50.The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.

0.58
0.48
0.45
0.68

Answer 1

Answer: 0.48

Explanation:

Given : The probability that a customer will order a hamburger P(H)= 0.60.

The probability that a customer will order french fries P(F)= 0.50.

The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries : P(F|H)= 0.80.

Using conditional probability formula , for any event A (first event) and B (second event), we have:-

`P(B|A)=(P(A\cap B))/(P(A))\\\\\Rightarrow\ P(A\cap B)=P(A)*P(B|A)`

Similarly, the probability that the order will include a hamburger and fries :-

`P(H\cap F)=P(H)* P(F|H)\\\\=0.60*0.80\\\\=0.48`

Hence, the probability that the order will include a hamburger and fries=0.48