Mongo Millions in 3 lottery picked at random from a pool of 6o numbers the White

Question

Mongo Millions in 3 lottery picked at random from a pool of 6o numbers the White Numbert). Then a single number the Mongo Number) is picked from a second pool of 20 oumbers if the results of these random number selections match one of the winning combinations in any order on your lottery ticket, then win sormething. The paryout structure is as follows game played in the United States. The way the game is played numbers picked for the prizes consist of 5 numbers Mongo Millions Payout Structure Match Payout 5 White Numbers No Mongo Number out of 5 white Moneo Number 4 out of s White No Mongo Number 3 out of 5 White Mongo Number out of 5 White + No Mongo Number 2 out of 5 White Mongo Number 1 out of S White Mongo Number o our of s wite Moneo Number 1,000.000 $50.000 $5.000 5500 $50 $5 $3 51 What is the probability of winning $500 for the drawing Round your anower to & decimal places nswer 1 Point Keypad Tables

Explanation / Answer

For a win of $500 we need 3 out of 5 to be white and 1 mango number.

P(3 out 5 to be white ) = C(5,3)/C(60,5) = 10/5461512 = 0.0000018309

P(choosing a mango number) = 1/20 = 0.05

P(3 out 5 to be white and choosing a mango number)= 0.0000018309*0.05 = 0.000000091545

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