# mathematics

• Question 1
On a Minnesota December day, the probability of snow is 0.30. The probability of a cold day is 0.50. The probability of snow and cold weather is 0.15. Are snow and cold weather independent events?

• Question 2
As a company manager for the Quick Money Business there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion or a raise. The probability of getting a promotion and a raise is 0.25. If you get a promotion, what is the probability that you will get a raise?
• Question 3
Alison has all her money invested in two mutual funds, A and B. She knows that there is a 40% chance that fund A will rise in price.
There is a 60% chance that fund B will rise in price given that fund A rises in price.
There is also a 30% chance that fund B will rise in price.
What is the probability that at least one of the funds will rise in price?

• Question 4
If P(A) = 0.40, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

• Question 5
A recent survey shows that the probability of a college student drinking alcohol is 0.6.
Further, given that the student is over 21 years old, the probability of drinking alcohol is 0.8.
It is also known that 30% of the college students are over 21 years old.
Of the students who are not over 21, what is the probability they drink alcohol?

• Question 6
Alison has all her money invested in two mutual funds, A and B. She knows that there is a 40% chance that fund A will rise in price.
There is a 60% chance that fund B will rise in price given that fund A rises in price.
What is the probability that both fund A and fund B will rise in price?

• Question 7
Three workers at a fast food restaurant pack the take-out chicken dinners. John packs 45% of the dinners, Mary packs 25% of the dinners and Sue packs the remaining dinners. Of the dinners John packs 4% do not include a salt packet. If Mary packs the dinner 2% of the time the salt is omitted. Lastly, 3% of the dinners do not include salt if Sue does the packing. What is the probability that you will have salt packed with your dinner?

• Question 8
Use the table below which contains data on 1200 students in a law class. If a student passed the course, what is the probability that their GPA was greater than 3.0?
GPA 0.0 – 2.0 GPA 2.01 – 3.0 GPA 3.01 – 4.0 Total
Pass 100 200 540 840
Fail 200 120 40 360
Total 300 320 580 1200

• Question 9
A six-sided die is tossed.  You win \$10 if the tossed die shows a 5 or an even number.  What is the probability that you will win the game?

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