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07 Jul 2021, 02:15
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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:
59% (01:08) correct
41%
(00:54)
wrong
based on 772
sessions
History
Date
Time
Result
Not Attempted Yet
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).
