Aptitude - Probability - Discussion

Discussion Forum : Probability - General Questions (Q.No. 1)
1.
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
1
2
2
5
8
15
9
20
Answer: Option
Explanation:

Here, S = {1, 2, 3, 4, ...., 19, 20}.

Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.

P(E) = n(E) = 9 .
n(S) 20

Discussion:
107 comments Page 6 of 11.

Ketan said:   1 decade ago
p(3) = {3,6,9,12,15,18}.
p(5) = {5,10,15,20}.
P(3u5) = p(3)+p(5).

I don't understand how it's come
= 6/20+4/20 ?

Keerthi said:   1 decade ago
Here he said 3 or 5 but not 3&5 so answer will be 1\2.

Since or means we should add &and means multiply.

Shekar said:   1 decade ago
A(n)={3,6,9,12,15,18}
B(n)={5,10,15,20}
P(AuB)=P(A)+P(B)-P(A intersection B)
P(AuB)=6/20+4/20-1/20
P(AuB)=9/20.

Parthasarathy said:   1 decade ago
A(n)={3,6,9,12,15,18}
B(n)={5,10,15,20}
P(AuB)=P(A)+P(B)-P(A intersection B)
P(AuB)=6/20+4/20-1/20
P(AuB)=9/20.

Sifuna charles said:   1 decade ago
Shekar your explanation is good but you should have included the intersection part of it for easy understanding.

Avaneet Agrahari said:   5 years ago
Multiple of 3=[,3,6,912,15,18]=6
M....o. 5=[5,10,15,20]=4 but 15 is already in 3 so it count 3
Ans= 6+3/20=9/20
(12)

Divya said:   10 years ago
How to cal multiple of larger number?

Can any one give a answer for this?

Ex: Same question number is 1-300.

Sugnya said:   1 decade ago
The answer is 1/2 because if there is same number we should include it. This not union or intersection model.

Anitha said:   7 years ago
@Shraddha.

5 is also considered so that we get probability 9/20. If 5 is not considered we can't get 9/20.
(2)

Ujjwal shukla said:   9 years ago
Find the probability that a number from 1 to 300 is divisible by 3 or 7.

Can anyone answer this question.


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