If you have 3 quarters, 5 dimes, and 2 nickels in your
pocket, what is the probability that you will reach into your
pocket and choose a coin, keep it in your hand, then reach
in to choose another coin and both coins will be quarters?

Respuesta :

Answer:

1/15

Step-by-step explanation:

The two events are not dependent so we can not use multiplication rule.

So P(getting a quarter on the first try) is

[tex] \frac{3}{10} [/tex]

Assuming we get a quarter, we would be left with 9 coins, and only 2 quarters, so

P(getting a quarter second time in a row)

[tex] \frac{2}{9} [/tex]

Multiply the two

[tex] \frac{3}{10} \times \frac{2}{9} = \frac{6}{90} = \frac{1}{15} [/tex]