Canada, venezuela, kenya, france and new zealand, are qualified to compete in a final event of the olympics games. suppose that new zealand withdrawn from the event and canada has two athletes entered in the event. 1. what is the probability that canada wins two medals?

2. at least one medal ?

How many competitors do the other (non-Canada) countries have? It seems to me that the probability of any country winning depends upon the previous personal bests of the various athletes.

To answer these questions, we need to calculate the probabilities based on the information given. Let's break it down step by step:

1. Probability that Canada wins two medals:
Since Canada has two athletes entered in the event and there are only four remaining countries (Venezuela, Kenya, France, and New Zealand), we can calculate the probability of Canada winning two medals by considering the number of ways it can happen and dividing it by the total number of outcomes.

Total outcomes = 4 (since there are four remaining countries)
Number of ways Canada can win two medals = 1 (since Canada has two athletes and both can win medals)

Therefore, the probability that Canada wins two medals is 1/4, which can also be expressed as 25%.

2. Probability of Canada winning at least one medal:
To find the probability of Canada winning at least one medal, we need to consider the total number of outcomes in which Canada can win one or two medals, and divide it by the total number of outcomes.

Total outcomes = 4 (since there are four remaining countries)
Number of ways Canada can win at least one medal = 3 (Canada wins two medals + Canada wins only one medal)

Therefore, the probability that Canada wins at least one medal is 3/4, which can be expressed as 75%.

In summary:
1. Probability that Canada wins two medals: 25%
2. Probability that Canada wins at least one medal: 75%