Probability, Counting and Odds
Odds, mutually exclusive events, the fundamental counting principle, permutations and combinations. The largest probability block on the Mathematics 30-2 diploma.
10 questions, free, marked as you go with a worked explanation on every one.
What this covers
- math30 2 probability and odds
- probability basics
The questions
- A school uniform can be put together from 4 different shirts, 3 different pairs of trousers and 2 different pairs of shoes. If one of each item is chosen, how many different complete outfits are possible?
- Eight runners are in a race and the first three across the line win gold, silver and bronze. In how many different ways can the three medals be awarded?
- A club with 10 members must send 3 of them to a conference. The three delegates all have the same role, so the order in which they are chosen does not matter. How many different groups of three are possible?
- The odds in favour of a certain horse winning a race are given as 3 : 5. What is the probability that the horse wins?
- A fair six-sided die is rolled once. What is the probability of rolling either a 2 or a 5? Give your answer as a percent, rounded to one decimal place.
- One card is drawn from a standard deck of 52. What is the probability that it is a heart or a face card? Give your answer as a percent, rounded to one decimal place.
- Two cards are drawn from a standard deck of 52 without replacement. What is the probability that both are aces? Give your answer as a percent, rounded to two decimal places.
- A committee of 3 people is to be chosen from a group of 7 women and 5 men. How many different committees contain exactly 2 women and 1 man?
- How many distinct arrangements can be made of all six letters of the word BANANA?
- A bag holds 5 red marbles and 3 blue marbles. One marble is drawn, replaced, then a second is drawn. What is the probability both are red? Give your answer as a percent, rounded to one decimal place.