Question

4.2.17 Drive-thru Restaurant o Order Accurate Order Not Accurate 33 51 32 11 330 261 247129 If one order is selected, find the probability of getting an order from restaurant A or B or an order that is not accurate. The probability of getting an order from restaurant A or B or an order that is not accurate is Round to three decimal places as needed)

Answer 1

Solution: The probability of getting an order from the restaurant A or B or an order that is not accurate is $\dpi{100} \small \boldsymbol{0.656}$

Explanation:

We are given the below table of information:

First, we will find the $\dpi{100} \small P(A or B)$

$\dpi{100} \small P(A or B)=\frac{363+312}{1094}=\frac{675}{1094}$

Now we will find the Probability of not accurate.

The probability of not accurate is:

$\dpi{100} \small P(not-accurate)=\frac{127}{1094}$

Out of 1094 orders, 33+51=84 orders are from A or B and not accurate. Therefore, we have:

Pr(A or B and not accurate) $\dpi{100} \small =\frac{84}{1094}$

Hence the probability of getting an order from the restaurant A or B or an order that is not accurate is:

P(A or B) + P( not-accurate) - P(A or B and not accurate)

$\dpi{100} \small \frac{675}{1094}+\frac{127}{1094}-\frac{84}{1094}$

$\dpi{100} \small \boldsymbol{\frac{718}{1094}=0.656}$