Question

A box contains a one-dollar bill, a five-dollar bill, a ten-dollar bill, and a twenty-dollar bill. Two bills are chosen in succession without replacement. Use a tree diagram to list the sample space for this experiment and then answer the following questions in fractions

1.
What is the probability that the values of both bills are even?


2.
What is the probability that the value of neither bill is even?


3.
What is the probability that the value of exactly one of the bills is even?


4.
What is the probability that the value of at least one of the bills is even?


5.
What is the probability that the total value of the bills chosen is $30?

Answer 1

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

1. $10 and $20 are even. The chances at each drawing are 1/2.

2. $1 and $5 are odd. The chances at each drawing are 1/2.

3. Same.

4. P(1 or 2 bills even). Either-or probabilities are found by adding the individual probabilities.

5. see #1

Answer 2

no