The probability that you win first prize and your friend wins second
prize is 5/210
Step-by-step explanation:
Step 1 :
Total number of prizes awarded = 3
Number of people entering the draw = 7
Number of ways to award the prize = 210
We need to find the probability that we win the first and the second prize
Step 2 :
Out of the 3 prizes we need the first and the second. Hence the prize for the first and the second positions are fixed as we do not consider the remaining 5 people to win the prize here.
Hence the remaining number of people who can win the 3rd prize = 5
The number of ways one of them wins the 3rd prize = 5
The total number of ways = 210
Hence the probability of the first 2 prizes fixed and the remaining 3rd awarded to the rest of the 5 people is 5/210
Step 3 :
The required probability 5/210
