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: [tex]\frac{8}{14}[/tex] 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 [tex]\frac{7}{13}[/tex] chance of picking another nickel out of your pocket.
To find the probability of this event you do [tex]\frac{8}{14}[/tex] * [tex]\frac{7}{13}[/tex] 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.
