Question

The numbers 1 through 10 are put in one bag. The numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number? Write your answer as a fraction.

Answer 1

Answer:

6/100

Step-by-step explanation:

Answer 2

The probability of getting the same number twice is 3/50.

How to get the probability?

Assume we first draw a number from the bag with the numbers from 1 to 10.

Here we need to draw a number equal to 5 or larger than it, so we have the options {5, 6, 7, 8, 9, 10}

So there are 6 options out of 10, then the probability of getting one of these is:

P = 6/10

We draw one of these, now we need to draw the same number from the other bag. We will have only one allowed outcome out of 10 options, so the probability is:

Q = 1/10

The joint probability is the product of the two above:

probability = P*Q = (6/10)*(1/10) = 6/100 = 3/50

So the probability of getting the same number twice is 3/50.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701