Applied Math 12 - Probability Review Assignment

Applied Math 12 - Probability Review Assignment
Complete the following. We’ll go over this assignment in class on Wednesday.
1. There are 15 marbles in a bag: 4 red marbles, 8 green marbles, and 3 white marbles. You pull one marble
out of the bag at random.
a) What is the probability of pulling a red marble?
b) What are the odds against pulling a red marble?
c) What are the odds in favour of pulling a marble that is not white?
d) One marble is removed and the colour recorded. It is replaced in the bag and a second marble is
chosen. What is the probability of selecting a white on the first marble and a green on the second
marble?
e) One marble is removed and the colour recorded. It is NOT replaced in the bag and a second marble is
chosen. What is the probability of selecting two green marbles?
2. The odds in favour of a randomly selected resident of Winnipeg liking the Blue Bombers football team are
5:4. Determine the probability of any resident not liking the football team.
3. The probability that Kim will walk her dog tonight is 72%. The probability that she will stop at Tim Hortons
for a coffee is 40%. The probability that she will do neither activity is 10%
a) Are these events mutually exclusive? Explain your answer.
b) Draw a Venn diagram that represents this situation, making sure to place the correct probabilities in
the correct regions.
c) What is the probability that Kim will do both of these activities?
4. There are 80 female and 70 male students graduating from a Winnipeg High School. Of these students,
35 females and 30 males will attend Red River College next year. What is the probability that a
randomly selected student will attend Red River College next year, given that the student is a female?
5. The probability that Rex catches a cold is 0.6. The probability that Jim catches a cold is 0.8.
a) Find the probability that Rex or Jim catches a cold.
b) Find the probability that both Rex and Jim catch a cold.
6. 70% of the students in a school have black hair. 20% of the students are over 6 feet tall. One student is
chosen at random. Find the probability that the chosen student has black hair or is over 6 feet tall.
2
7. Alexander is a carpenter. The probability that he measures twice when taking a measurement is 5. If
he measures twice, the probability of him cutting the piece needed to the correct size is
NOT measure twice, the probability of him cutting the piece needed to the correct size is
8
. If he does
10
11
.
20
a) Are these events dependent or independent? Explain your answer.
b) Draw a tree diagram to represent this situation. Make sure to completely label and calculate all
probabilities on your diagram.
c) What is the probability of Alexander not measuring twice and cutting the piece needed the correct
size?
d) What is the probability of Alexander cutting the piece the correct size?
e) What is the probability that he measured twice, given that Alexander did not cut the piece the correct
size?