Question

In a sweepstakes sponsored by Gemini Paper Products, 175,000 entries have been received. If 1 grand prize is drawn, and 3 first prizes, 25 second prizes, and 400 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win the following?

(A) The Grand prize

(B) A prize

Answer 1

The correct answer are given by (A)
`(1)/(175000)` ; (B)
`(429)/(175000)`.

Explanation:

Total number of entries to the sweepstakes offered by Gemini Paper Products = 175,000.

Total number of prizes to be awarded includes 1 grand prize, 3 first prizes, 25 second prizes and 400 third prizes = 1 + 3 + 25 + 400 = 429.

(A) Required Probability for a person who has put one entry to win the grand prize is given by the fraction
`(1)/(175000)`.

(B) Required Probability for a person who has put one entry to win any prize offered is given by
`(429)/(175000)`.