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40% of the people have their own car and 50% people
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06 Mar 2022, 12:11
06 Mar 2022, 12:11
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Question Stats:
75% (01:33) correct
25% (01:25) wrong based on 4 sessions
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40% of the people have their own car and 50% people have their washing machine and 10% people they have both. What percentage of the people have neither car nor washing machine?
Options:
A 10%
B 15%
C 20%
D 25%
E 30%
Posted from my mobile device
Options:
A 10%
B 15%
C 20%
D 25%
E 30%
Posted from my mobile device
Re: 40% of the people have their own car and 50% people
[#permalink]
06 Mar 2022, 12:17
06 Mar 2022, 12:17
2
Expert Reply
Let A be the event that the people own cars and B be the event that the people own washing machines.
Then,
P(A)=0.4
P(B)=0.5
P(A n B)=0.1
We know that P(A U B) represent the probability that the people either own car or washing machine. We are interested in 1- P(A U B) i.e. they don't own anything
P(A U B)= P(A)+P(B)-P(A n B)=0.8
1- P(A U B) =0.2
Hence, the answer is C.
Then,
P(A)=0.4
P(B)=0.5
P(A n B)=0.1
We know that P(A U B) represent the probability that the people either own car or washing machine. We are interested in 1- P(A U B) i.e. they don't own anything
P(A U B)= P(A)+P(B)-P(A n B)=0.8
1- P(A U B) =0.2
Hence, the answer is C.
gmatclubot
Re: 40% of the people have their own car and 50% people [#permalink]
06 Mar 2022, 12:17
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