1A container holds 15 pennies 8 nickels and 10 dimes You wil

1.A container holds 15 pennies, 8 nickels, and 10 dimes. You will randomly select two coins without replacement.

(a) Fill in the probabilities on each branch of the tree diagram.

(b) Use the tree diagram to answer the following:

How many ways can you select the coins?

How many ways can you select exactly 1 nickel?

What is the probability that you select 2 pennies?

What is the probability that you select a dime and then a penny?

Answer:

b) We can select 2 coins from the total of 33 coins in 33C2 ways that is 528

We can select 1 nickel in 8C1 ways and the another coin from the reamining 25 in 25C1 coins

So 8*25 is 200 ways

So the probability is 200/528 that is 0.379

2 pennies can be selected in 15C2 ways that is 105

So the probability is 0.199

1 dime and 1 penny is selected in 10C1*15C1 that is 150

So the probability is 0.284