Question

Please help me with this probability problem.

Answer 1

Answer:

0.308

Step-by-step explanation:

You have 8 nickels and 6 dimes. 8 + 6 = 14.

You know both of the coins you have picked are nickels so you will have to find the probability of picking a nickel and then another nickel.

First time: $\frac{8}{14}$ is the probability of picking a nickel the first time.

Second time: Since you don't have a nickel in your pocket anymore, you now have 7 nickels and 6 six dimes in your pocket. Together you have 13 coins. You have 7 nickels so you have a $\frac{7}{13}$ chance of picking another nickel out of your pocket.

To find the probability of this event you do $\frac{8}{14}$ * $\frac{7}{13}$ because to find the probability of A and B you do P(A) multiplied by P(B). If you wanted to find the probability of getting A or B you would add together instead of multiplying.

Multiplying these together gets you 0.307692... which is 0.308 rounded.