31. of the customers who order a burger, 10% ask for no pickles and 15% ask for no cheese. if 5% ask for no…

31. of the customers who order a burger, 10% ask for no pickles and 15% ask for no cheese. if 5% ask for no pickles and no cheese, what is the probability that the next customer who orders a burger will ask for either no pickles or no cheese?\na. 15%\nb. 20%\nc. 25%\nd. 30%

31. of the customers who order a burger, 10% ask for no pickles and 15% ask for no cheese. if 5% ask for no pickles and no cheese, what is the probability that the next customer who orders a burger will ask for either no pickles or no cheese?\na. 15%\nb. 20%\nc. 25%\nd. 30%

Answer

Explanation:

Step1: Recall probability formula

Use the formula $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. Let $A$ be the event of asking for no pickles and $B$ be the event of asking for no cheese.

Step2: Substitute values

$P(A) = 10%=0.1$, $P(B)=15% = 0.15$, $P(A\cap B)=5%=0.05$. Then $P(A\cup B)=0.1 + 0.15- 0.05$.

Step3: Calculate result

$P(A\cup B)=0.2$, which is $20%$.

Answer:

B. 20%