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Problem Set #5
Statistics
1) In 1 – 4, a probability experiment consists of rolling a six-sided die and spinning a spinner with 4
equal spaces, labeled blue, green, red, and yellow. The spinner is equally likely to land on each color.
Use a tree diagram to find the probability of each event.
1) Event A: rolling a 5 and the spinner landing on blue
2) Event B: rolling an odd number and the spinner landing on green
3) Event C: rolling a number less than 6 and the spinner landing on yellow
4) Event D: not rolling a number less than 6 and the spinner landing on yellow
5) The access code for a garage door consists of three digits. Each digit can be 0 through 9 and
each digit can be repeated.
a) Find the number of access codes
b) What is the probability of randomly selecting the correct access code?
c) What is the probability of not selecting the correct access code?
6) In the general population, one woman in eight will develop breast cancer. Research has shown
that 1 woman in 600 carries a mutation of the BRCA gene. Eight out of 10 women with this
mutation develop breast cancer.
a) Find the probability that a randomly selected woman will develop breast cancer given that she
has a mutation of the BRCA gene.
b) Find the probability that a randomly selected woman will carry the mutation of the BRCA gene
and will develop breast cancer.
c) Are the events of carrying this mutation and developing breast cancer independent or
dependent? Explain