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A die is rolled and the spinner is spun. Find each probability.

A die is rolled and the spinner is spun. Find each probability.-example-1

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Hello!

First, let's write the possible options:

Dice: 6 different results.

• 1, 2, , 4, 5, 6.

Spinner: 4 different results.

• A, B, C, D.

Knowing it, let's solve each alternative of your exercise:

a. 1 and A

In the dic, we have 6 possible results and we want a specific number. SOo, we can write it as 1/6.

In the spinner, we have 4 possible results and we want a specific one too. So, we have 1/4.

Now, remember he r"and" rule: when we consider two events happening simultaneously, we must multiply their probabilities.

Solving:


(1)/(6)*(1)/(4)=(1*1)/(6*4)=(1)/(24)

b. odd score and B.

We'll solve it in a similar way.

We have three possible odd numbers (1, 3, 5) in a total of 6 options. So, 3/6 = 1/2.

For the spinner, the reasoning will be the same: 1/.

Let's calculate:


(1)/(2)*(1)/(4)=(1*1)/(2*4)=(1)/(8)

c. number less than 5 and a consonant.

In a dice, we have four numbers less than 5: 1, 2, 3,4.

In the spinner, there are 3 consonants (B, C, D).

Let's calculate:


(2)/(3)*(3)/(4)=(2*3)/(3*4)=(6)/(12)=(1)/(2)

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