In a​ lottery, 6 numbers are randomly sampled without replacement from the integers 1 to 38. Their order of selection is not important. Find the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 38 possible numbers.

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Answer: Our required probability is 0.328.

Step-by-step explanation:

Since we have given that

there is number on the lottery is from 1 to 38.

6 numbers are selected.

We need to find the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket.

So, it should be other than 6 numbers.

Remaining numbers = 38-6 = 32

So, our probability becomes

[tex]\dfrac{^{32}C_6}{^{38}C_6}\\\\=\dfrac{906192}{2760681}\\\\=0.328[/tex]

Hence, our required probability is 0.328.

By applying concept of combination we got that probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket is 0.328

What is probability ?

Probability is chances of occurring of an event.

Total number = 38 { integer from 1 to 38}

Total selected number =6

Remaining numbers - 38-6=32

probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket can be calculated as

[tex]\frac{{ }^{32} C_{6}}{{ }^{38} C_{6}}[/tex]

=0.328

By applying concept of combination we got that probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket is 0.328

To learn more about probability visit : brainly.com/question/24756209