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What is the probability that a player of a lottery wins the prize offered for correctly choosing five (but not six) numbers out of six integers chosen at random from the integers between 1 and 40, inclusive?

Respuesta :

Answer:0.0000531

Step-by-step explanation:

Given

Choosing 5 correct integers out of 6 integers is

[tex]^{6}C_5[/tex]

and remaining 1 incorrect digit out of 34 is [tex]^{34}C_1[/tex]

Now total ways to choose 6 integers out of 40 integers

[tex]=^{40}C_6[/tex]

Probability [tex]=\frac{^{6}C_5\cdot ^{34}C_1}{^{40}C_6}[/tex]

[tex]=0.0000531[/tex]

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