Question

Hamid has 20 T-shirts. The information shows the colours of his T-shirts. 7 black 4 red 1 light blue 2 grey Hamid is going to take one of his T-shirts at random. a) What is the probability that the T-shirt will be grey? b) What is the probability that the T-shirt will not be red? c) He takes one of his blue T-shirts at random. What is the probability that the T-shirt is light blue? 4 dark blue 2 white​

Answer 1

Explanation:

a) The probability that Hamid pulls out a grey T-shirt is 2/20, or 1/10 in simplified form since there are 2 grey T-shirts out of 20 total.

b) The probability that the T-shirt will not be red is 16/20, or 4/5 in simplified form since there are 4 red T-shirts and 16 T-shirts that are not red.

c) Hamid has only 1 light blue T-shirt out of the 20 total T-shirts. So, the probability that he takes out the light blue T-shirt is 1/20. Note that the numbers of dark blue and white T-shirts are not needed to answer this question.

Answer 2

a) The probability that the T-shirt will be grey is 2/20 or 1/10. This is because Hamid has 2 grey T-shirts out of 20 total T-shirts.

b) The probability that the T-shirt will not be red is 1 - (4/20) or 16/20, which can be simplified to 4/5. This is because Hamid has 4 red T-shirts out of 20 total T-shirts, so the probability of not selecting a red T-shirt is equal to the probability of selecting one of the 16 non-red T-shirts.

c) Hamid has only one light blue T-shirt out of the total 20 T-shirts. So, the probability of selecting a light blue T-shirt is 1/20.