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Harman [31]
3 years ago
7

You have 8 scrabble tiles A, B, C, D, R, S, T, U in a bag. You reach in and randomly pick four of these tiles. What is the proba

bility that you will be able to spell the word CATS with the tiles you picked?
Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

Probability to pick 4 tiles which spell CATS will be \frac{1}{70}.

Step-by-step explanation:

We have 8 scrabble tiles A, B, C, D, R, S, T, U in a bag.

Probability to pick 4 tiles C, T, A, and S out of 8 tiles = ^{8}C_{4}

= \frac{8!}{4!(8-4)!}

= \frac{8!}{4!\times 4!}

= \frac{8\times 7\times 6\times 5\times4!}{4!\times 4!}

= \frac{1680}{24}

= 70

So we can choose C, T, A and S tiles in 70 different ways but the probability to pick 4 tiles which spell CATS will be

= \frac{1}{70}

Therefore, probability to pick 4 tiles which spell CATS will be \frac{1}{70}.

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