Fifty raffle tickets are numbered 1 through 50, and one of them is drawn at random. What is the probability that the number is a multiple of 5 or 7?

e1s2kat26

e1s2kat26

Answered question

2021-08-06

Fifty raffle tickets are numbered 1 through 50, and one of them is drawn at random. What is the probability that the number is a multiple of 5 or 7? Consider the following "solution": Since 10 tickets bear numbers that are multiples of 5 and 7 tickets bear numbers that are multiples of 7, we concluded the required probability is as follows.
1050+750=1750
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Answer & Explanation

Alannej

Alannej

Skilled2021-08-07Added 104 answers

Step 1
Fifty raffle tickets are numbered 1 through 50, and one of them is drawn at random. What is the probability that the number is a multiple of 5 or 7? Consider the following "solution": Since 10 tickets bear numbers that are multiples of 5 and 7 tickets bear numbers that are multiples of 7, we concluded the required probability is as follows.
Step 2 Let A be the event that the number is multiple of 5
B be the event that the number is multiple of 7
Find P(AB)
Therefore, P(AB)=P(A)+P(B)P(AB)
Number of tickets that are multiplies of both 5 and 7 are 505×7=5035=1
P(AB)=150
P(AB)=1050+750150
=1750150
=1650
The probability that the number of tickets are multiplies of 5 or 7 is 1650

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