Question

a person purchases 10 of 1000 tickets sold in a certain raffle. to determine the five prize winners, five tickets are to be drawn at random and without replacement. find the probability that this person will win at least one prize.

plz help me in this ques.
answer must be see pic.​

Answer 1

Mark as brainliest

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Answer 2

The probability of him getting at least one prize is 1 - ⁹⁹⁰C₅/ ¹⁰⁰⁰C₅

Given

• The man purchases 10 of 1000 tickets
• To determine the five prize winners, five tickets are to be drawn at random and without replacement.

To Find

The probability that this person will win at least one prize

Solution

Probability of any event = no. of outcomes for the particular event/Total no. of outcomes

The number of ways to select the 5 prize winners = ¹⁰⁰⁰C₅

The man bought 10 tickets. So the event of him not getting a single prize ticket is if all the prize tickets are among the 990 others.

Hence, ways to not get a single prize ticket = ⁹⁹⁰C₅

Therefore, the probability that he gets at least one prize ticket

= 1 - the probability of him not getting a single prize ticket.

= 1 - ⁹⁹⁰C₅/ ¹⁰⁰⁰C₅

Hence, the probability of him getting at least one prize is 1 - ⁹⁹⁰C₅/ ¹⁰⁰⁰C₅

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