A girl and a boy each randomly grab a piece of candy from a bowl containing 9 pieces of chocolate, 7 fruit chews, 9 lollipops, and 9 peppermints. Find the probability that both events A and B will occur. Give your answer a reduced fraction. Event A: A girl grabs a lollipop Event B: A boy grabs a fruit chew

The probability that both events A and B will occur is 0.56

Step-by-step explanation:

It is given that,

Therefore, two events A and B will occur.

Event A ⇒ A girl grabs a lollipop :

P (to grab lollipop) = No.of lollipops / Total pieces

We know that, no.of lollipops = 9 and the total pieces = 34

P (to grab lollipop) = 9 / 34.

Event B ⇒ A boy grabs a fruit chew :

P (to grab fruit chew) = No.of fruit chews / Total pieces in bowl after event A.

We know that, no.of fruit chews = 7 and the total pieces in the bowl after grabbing one lollipop is 33 pieces.

P (to grab fruit chew) = 7 / 33

Probability that both events A and B will occur :

P (event A and B) = P (to grab lollipop) × P (to grab fruit chew)

⇒ 9/34 × 7/33

⇒ 63/1122

⇒ 21/374

⇒ 0.56

The probability that both events A and B will occur is 0.56

The probability that both the events will occur is

Explanation:

Chocolate = 9

Fruit chews = 7

Lollipops = 9

Peppermints = 9

Total candies = 9 + 7 + 9 + 9

                     = 34

Probability of grabbing a lollipop =

Probability of grabbing a fruit chew =

Probability that both the events will occur =

                                                                  =

Therefore, the probability that both the events will occur is

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step-by-step explanation:

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