A jar contains 10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marbles. You also have a number cube. What is the probability of choosing a red marble and rolling an even number?

Respuesta :

Answer:

5/29

Step-by-step explanation:

This is a compound event.

Compound events are found by multiplying the probabilities of both events.

So we need to multiply the probability of chooseing a red marble and rolling an even number.

10 red

8 green

5 blue

6 white

Total marbles = 29

P(red marble) = 10/29

A die/number cube has 6 sides. Each has a probability of 1/6.

1

2

3

4

5

6

There are 3 even numbers here. The probability of an even number is:

P(even) = 3/6 = 1/2

Now we need to find the probability of both events occurring. So multiply both probabilities and you will get the answer:

10/29 x 1/2 = 5/29

The probability of choosing a red marble and rolling an even number is 5/29.

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