Lim buys five raffle tickets out of 1000 sold. She does not win first prize. What is the probability that she wins second prize?
Answers
Answer:
The probability of winning any of the 5 prizes with one ticket is 5/400. With 4 tickets your probability will be four times greater or 20/400. There are now 4 prizes left to be won with 399 tickets in the pot. Your probability of winning on a second ticket is therefore 4/399. You have 3 tickets left and so the probability is 4/399 times 3 , which equals 12/399. Similarly, the probability of getting a third prize with one ticket is 3/398. You have two tickets and so the probability, for two tickets left, is 6/398. For the last ticket the probability is 2/397.
The integrated probability of winning with all 4 tickets is therefore the product of each individual probability:
20/400 * 12/399 * 6/398 * 2/397
This simplifies to 6/(52,536,995)
Step-by-step explanation: