Question

The number of ways to pick 6 different numbers from 1 to 46 in a state lottery is 9,366,819. Assuming order is unimportant, what is the probability of picking exactly 3 of the 6 numbers correctly? The probability of selecting exactly 3 of the 6 numbers drawn is . (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)

Answer 1

Solution :- Let, No. of ways to pick 6 different I to 46 lottery is 9,366,819 Picking exactly 3 of the 6 numbers. → If we randomly select n=6 items without replacement from a set of N=46 items of which a) m=6 of the items are of one type (winning on here 1. numbers) .) and N-m = 46-6 = 40 of the items are of a Second type (non-winning numbers) Then the probability mass function of the discrete random Variable & is called the hypergeometric distribution and is of the form: - P(X=x) = (m) ( 12 ) P(x-3) - $0 O ) 0(!") rus TTC

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