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Thomas, Saliah, and Leo won the science rocket launching contest. Mrs. Novak allowed each student to randomly choose a prize from a bag. Once the prize is chosen, it is not replaced. The bag contained 4 homework passes, 3 ten points added to a quiz score, and 2 five points added to a test score. If Thomas wins the test points, what is the probability that Saliah and Leo get the same prize?

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Answer:

1/8

Step-by-step explanation:

So, there are a total of 9 prizes in the bag. 4 homework passes, 3 quiz points and 2 test points, which makes a total of 9.

The probability of getting a homework pass is 4/9.

The probability of getting quiz points is 3/9.

And the probability of getting test points is 2/9.

If Thomas wins one of the test points, there would be only one test points left in the bag. Since the prizes cannot be replaced, it means that the total amount of prizes in the bag has been reduced from 9 to 8, hence making the probability of either Saliah or Leo getting the test points 1/8.

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