Question

Suppose you have a bag with 5 red, 7 white, 3 blue poker chips. Use this information to answer question. If you draw four chips with replacement, what is the probability that all four are white?

Answer 1

Answer: 0.0474

Explanation:

Given : Number of white poker chips = 7

Total poker chips in the bag = 5+7+3=15

Now, the probability that the first chip is white :-

`(7)/(15)`

Since , there is replacement of chips.

So each event is independent of the previous one.

Now, If you draw four chips with replacement, then the probability that all four are white will be :-

`((7)/(15))^4=0.0474271604938\approx0.0474`

Hence, the probability that all four are white = 0.0474