Answer:
[tex]Pr = \frac{1}{870}[/tex]
Step-by-step explanation:
Given
[tex]n =30[/tex]
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:
[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]
Substitute [tex]n =30[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]
[tex]Pr = \frac{1}{30*29}[/tex]
[tex]Pr = \frac{1}{870}[/tex]
