Question

Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then selected a key chain. What is the probability this could occur

Answer 1

`Pr = (1)/(870)`

Explanation:

Given

`n =30`

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

`Pr = (1)/(n) * (1)/(n - 1)`

Substitute
`n =30`

`Pr = (1)/(30) * (1)/(30- 1)`

`Pr = (1)/(30) * (1)/(29)`

`Pr = (1)/(30*29)`

`Pr = (1)/(870)`