Mathematics: 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 probability that you will be able to spell the word CATS with the tiles you picked?

You have 8 scrabble tiles A, B, C, D, R, S, T,

ijohnh14

20.01.2022

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 $\frac{1}{70}$ .

0,0(0 оценок)

brianamelara

11.02.2020

yes, there are fewer numbers to compute.

It's just one length x the number of sides.

Step-by-step explanation:

0,0(0 оценок)