Question

The You-Pick- 4 lottery game chooses 4 different numbers from 29 numbers. To win the grand jackpot, you must match all 4 numbers in the correct order. To win the mini jackpot, you must match all 4 numbers but not in the correct order. If you buy 1 ticket, find the probability that you win the grand jackpot.

a. 1/110
b. 1/707,281
c. 1/23,751
d. 1/570,024

Answer 1

To win the grand jackpot in the You-Pick-4 lottery game, you must match all 4 numbers in the correct order. The probability of winning the grand jackpot with one ticket is 1/707,281.

Step-by-step explanation:

To win the grand jackpot in the You-Pick-4 lottery game, you must match all 4 numbers in the correct order. Since there are 29 numbers to choose from, the probability of choosing the correct first number is 1/29. Similarly, the probability of choosing the correct second number, third number, and fourth number are also 1/29 each. To find the probability of winning the grand jackpot, we multiply these probabilities together: 1/29 * 1/29 * 1/29 * 1/29 = 1/707,281.

Therefore, the probability of winning the grand jackpot with one ticket is 1/707,281. So, the correct answer is b. 1/707,281.