A jar contains 2 pennies, 3 nickels and 6 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins.

Question

Round your answers to 3 decimal places.

Find the probability X = 10.


Find the probability X = 11.

Answer 1

P(nn) = 3/11 * 2/10
That is the only way to get 10 cents in 2 coins
To get 11 cents, you have
P(pd) = P(dp) = 6/11 * 2/10
so P(11 cents) = 2 * 6/11 * 2/10