1. A standard dice is rolled. What is the probability that a sum less than 4 is not rolled?

2. A four-member curling team is randomly chosen from six grade-11 students and nine grade-12 students. What is the probability that the team has at least one grade-11 student?

3. Statsville has two computer-controlled traffic lights on the road between the main street and the highway. The probability of getting a red light at the first traffic light is 0.45, and the probability of getting a red light at the second one is 0.20 if you had been stopped by a red light at the first one. What is the probability of being stopped by red lights at both intersections?

4. Tom is practising archery with a target has three concentric zones: a circular bull's-eye in the centre, an inner ring, and an outer ring. He has an 0.12 probability of hitting the bull's-eye, an 0.37 probability of hitting the inner ring, and an 0.43 probability of hitting the outer ring. On an given shot, what is the probability that Tom

a) misses the target?

b) hits the target but does not get a bull's-eye?

c) hits the inner ring or the bull's-eye?

5. A test for the presence of E. coli in water detects the bacteria 97% of the time when the bacteria is present, but also gives a false positive 2% of the time, wrongly indicating the presence of E. coli in uninfected water. If 10% of the water samples tested contain E. coli, what is the probability that a test result indicating the presence of the bacteria is accurate?

6. Leela has five white and six grey huskies in her kennel. If a wilderness expedition chooses a team of six sled dogs at random from Leela's kennel, what is the probability the team will consist of

a) all white huskies?

b) all grey huskies?

c) three of each colour?

7. A standard dice is rolled. What is the probability that a sum less than 4 is not rolled?

8. If you were to toss four coins, what are the odds in favour of at least two landing heads up?

9. If a survey on teenage readers of popular magazines shows that 38% subscribe to Teen People, 47% subscribe to Cool Life, and 35% subscribe to neither magazine.

a) Draw a Venn diagram to illustrate the above data.

b) What is the probability that a randomly selected teenager subscribes to both magazines?

c) What is the probability that a randomly selected teenager subscribes to either one magazine or both?

10. A survey of 50 female high-school athletes collected the following data.

Team	Number of Athletes
Field hockey	23
Volleyball	16
Rugby	29
Both rugby and field hockey	8
Both rugby and volleyball	9
Both field hockey and volleyball	7
All three teams	6

a) Draw a Venn diagram to illustrate the above data.

b) Determine the probability that a randomly selected athlete from this sample will play either rugby or field hockey.

c) What is the probability that a randomly selected athlete will play on only one of the three sports teams?

d) Determine the probability that a randomly selected rugby player also plays volleyball.

11.Without looking, Jenny randomly selects two socks from a drawer containing four blue, three white, and five black socks, none of which are paired up. What is the probability that she chooses two socks of the same colour?

12.If Mike does his mathematics homework today, the probability that he will do it tomorrow is 0.8. The probability that he will do his mathematics homework today is 0.7. What are the odds that he will do it both today and tomorrow?