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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
58% (01:06) correct
42%
(00:56)
wrong
based on 512
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The probability that Maria will eat breakfast on any given day is 0.5. The probability that Maria will wear a sweater on any given day is 0.3. The two probabilities are independent of each other. What is the probability that Maria eats breakfast or wears a sweater?
A. 0.15
B. 0.35
C. 0.65
D. 0.75
E. 0.8
A. 0.15
B. 0.35
C. 0.65
D. 0.75
E. 0.8
vishuvashishth
Joined: 04 May 2017
Last visit: 24 Nov 2021
Posts: 24
Given Kudos: 6
Location: India
Schools: HEC MiM "24
10 Jul 2021, 02:00
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Solution:
It is given that
Probability that Maria will eat breakfast on any given day, which means: P(Breakfast)= 0.5
Probability that Maria will wear sweater on any given day is 4747, which means: P(sweater)=0.3
We are asked the probability that Gary eats breakfast or wear sweater on a particular day, which means we are asked the value of P(breakfast or sweater)
Now we already know, for 2 events A and B: P((A or B)=P(A)+P(B)−P(AB)
So we can write: 0.5 + 0.3 - (0.5 * 0.3)
=> on solving, 0.65.
Answer C.
It is given that
Probability that Maria will eat breakfast on any given day, which means: P(Breakfast)= 0.5
Probability that Maria will wear sweater on any given day is 4747, which means: P(sweater)=0.3
We are asked the probability that Gary eats breakfast or wear sweater on a particular day, which means we are asked the value of P(breakfast or sweater)
Now we already know, for 2 events A and B: P((A or B)=P(A)+P(B)−P(AB)
So we can write: 0.5 + 0.3 - (0.5 * 0.3)
=> on solving, 0.65.
Answer C.
General Discussion
10 Jul 2021, 02:16
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P (Breakfast) = 0.5
P (Sweater) = 0.3
P (breakfast and sweater) = 0.5 * 0.3 = 0.15
P (breakfast or sweater) = 0.5 + 0.3 - 0.15 = 0.65
Hence, the correct answer is (C).
P (Sweater) = 0.3
P (breakfast and sweater) = 0.5 * 0.3 = 0.15
P (breakfast or sweater) = 0.5 + 0.3 - 0.15 = 0.65
Hence, the correct answer is (C).
