Question

Kelly has 11 markers in a backpack. One of them is pink and one is blue. Find the probability Kelly will reach into the backpack without looking and grab the pink marker and then reach in a second time and grab the blue marker. Express your answer as a fraction in simplest form.

Answer 1

1/110

Explanation:

Her chance of originally grabbing a pink marker is 1/11. Her chance of grabbing a blue marker after the pink marker is taken out is 1/10. When you multiply 1/11 by 1/10, you get a 1/110 chance of getting the colored markers in this series

Answer 2

The probability of her picking both out in a sequence would be
`(1)/(110)`

Explanation:

Hello, this is a great question and one that many people struggle with in school. Hopefully I can help you understand it more clearly. Kelly has 11 markers in total within her backpack and needs to randomly pick out the pink marker. since there is only 1 that would mean her probability of picking out the pink marker is 1/11 .

Now there are 10 markers inside the backpack and she needs to randomly pick out the blue marker. since there is only 1 blue marker that would mean her probability of picking that one out is 1/10.

So now we have the following probabilities

1. 1/11 for the pink marker
2. 1/10 for the blue marker

Now if we want to find the probability of her getting the pink marker and the blue marker one after another we would need to multiply both fractions together

`(1)/(11) * (1)/(10) = (1)/(110)`

So the probability of her picking both out in a sequence would be
`(1)/(110)`