Math Problem Statement
In a lottery game, a player picks 9 numbers from 1 to 51. If 8 of the 9 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a fraction in order to earn credit.
There is a probability of winning second prize.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Combinations
Formulas
Combination formula: \( \binom{n}{k} = \frac{n!}{k!(n-k)!} \)
Probability formula: \( P = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} \)
Theorems
Combinatorics
Basic probability theory
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate Probability of Winning Second Prize in a 6/51 Lottery
Probability of Winning Second Prize in a Lottery Game with 6 Numbers from 1 to 47
Calculate the Probability of Winning a Lottery Jackpot with Combinations
Calculate Probability of Winning Jackpot in Lottery with White and Gold Balls
Probability of Winning $10 in a Lottery with 5 Numbers Out of 30