2 Answers

Dongdong · Answer 1 · 2017-07-23T01:50:34+0000

Answer:

The probability that he creates a pizza that has red sauce and mushrooms are:

(1)/(6)

Jamal has the following choices for his pizza:

White sauce or red sauce; white cheese or yellow cheese; and mushrooms, pepperoni or sausage.

Let A denote the event of choosing a red sauce.

and B denote the event of choosing a mushroom.

Let P denote the probability of an event.

Now we know that event A and event B are independent.

We are asked to find:

P(A∩B)

Since the two events are independent.

Hence,

$P(A\bigcap B)=P(A)* P(B)$

P(A)=(1)/(2)

( Since out of 2 choices i.e. white sauce or red sauce , we have to choose red sauce)

and

P(B)=(1)/(3)

( Since, out of 3 choices i.e. mushrooms, pepperoni or sausage we have to choose mushroom)

Hence, the answer is:

$P(A\bigcap B)=(1)/(2)* (1)/(3)$

i.e.

$P(A\bigcap B)=(1)/(6)$