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consider a state lottery which randomlyselects 6 numberedballs from a bin. The b

ID: 3090817 • Letter: C

Question

consider a state lottery which randomlyselects 6 numberedballs from a bin. The balls are numbered from 1-52. To win thejackpot a player must match all 6 balls, in any order. Dtermine thefollowing probabilities for a person who buys oine ticket. A. Winning the jackpot (matching all 6 numbers) B. Matching none of the numbers consider a state lottery which randomlyselects 6 numberedballs from a bin. The balls are numbered from 1-52. To win thejackpot a player must match all 6 balls, in any order. Dtermine thefollowing probabilities for a person who buys oine ticket. A. Winning the jackpot (matching all 6 numbers) B. Matching none of the numbers

Explanation / Answer

Set up using combinations: P(jackpot) C(6,6)*C(46,0)/C(52,6)=1/20358520 P(no #s match) C(6,0)*C(46, 6)/C(52,6)=.46 OR 46%