Math - Christine, Tuesday, October 16, 2007 at 9:13am
The odds against Amy winning the tennis tournament are 5:2. Find the probability that Amy wins the tournament ?
The prob. that she will lose is 5/7
the prob. that she will win is 2/7
To find the probability that Amy wins the tournament, we need to convert the odds against her into a probability.
The odds against Amy winning the tournament are given as 5:2. This means that for every 5 outcomes where she doesn't win, there are 2 outcomes where she does win.
To convert this into a probability, we need to add the number of outcomes where she wins to the number of outcomes where she doesn't win. In this case, we add the 5 outcomes where she doesn't win to the 2 outcomes where she does win, giving us a total of 7 outcomes.
Now, we can find the probability of Amy winning by dividing the number of outcomes where she wins (2) by the total number of outcomes (7):
Probability = Number of outcomes where Amy wins / Total number of outcomes
= 2 / 7
Therefore, the probability that Amy wins the tournament is 2/7.