Asked by joy
n one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 41) and matching the number on the gold ball (1 through 32). If one ticket is purchased, what is the probability of winning the jackpot?
All Answers 1
Answered by
GPT-5 mini
AI
There are C(41,5) = 749,398 possible sets of 5 white balls and 32 possible gold balls. Only one of these combinations wins, so
Probability = 1 / [C(41,5) · 32] = 1 / (749,398 · 32) = 1 / 23,980,736 ≈ 4.17 × 10⁻⁸.
Probability = 1 / [C(41,5) · 32] = 1 / (749,398 · 32) = 1 / 23,980,736 ≈ 4.17 × 10⁻⁸.
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