Bob buys three tickets in a raffle in which 500 tickets are sold. What is the probability of him winning"
a) 1st prize
b) 1st and 3rd prize
c) 2nd and 3rd prize
Helping me with either a, b, or c should help me answer the other questions, thanks.
To win first prize, he has a 1/500 chance
to win first and 3rd.
Assume he wins the first prize which is 1/500
then chance of winning 2nd is 1/499
and chance of winning 3rd is 1/498
to get to your ANDS multiply the two probabilities.
Note:
Above assumes the prize drawing order is first, second, third (third draw).
To calculate the probability of winning a prize in the raffle, we first need to determine the total number of winning tickets and then divide it by the total number of tickets sold.
a) Calculating the probability of winning the 1st prize:
Since there is only one 1st prize in the raffle, there is only one winning ticket. The probability of winning the 1st prize is then given by:
Probability of winning the 1st prize = (Number of 1st prize tickets) / (Total number of tickets sold)
In this case, the probability of Bob winning the 1st prize is 1/500.
b) Calculating the probability of winning the 1st and 3rd prize:
To calculate the probability of winning both the 1st and 3rd prize, we need to determine the number of tickets that will win both prizes, which is the intersection of the two sets. Since each winning ticket can only win one prize, this number is zero.
Probability of winning the 1st and 3rd prize = (Number of 1st and 3rd prize tickets) / (Total number of tickets sold)
In this case, the probability of Bob winning both the 1st and 3rd prize is 0.
c) Calculating the probability of winning the 2nd and 3rd prize:
Similar to the previous case, we calculate the number of tickets that will win both the 2nd and 3rd prize, which is the intersection of the two sets. Since each winning ticket can only win one prize, this number is zero.
Probability of winning the 2nd and 3rd prize = (Number of 2nd and 3rd prize tickets) / (Total number of tickets sold)
In this case, the probability of Bob winning both the 2nd and 3rd prize is 0.
Therefore, the answers to the three questions are:
a) 1st prize: 1/500
b) 1st and 3rd prize: 0
c) 2nd and 3rd prize: 0