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20 Apr 2020, 12:54
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (02:01) correct
16%
(02:25)
wrong
based on 2669
sessions
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Carol purchased one basket of fruit consisting of 4 Apples and 2 Oranges and another basket of fruit consisting of 3 Apples and 5 Oranges. Carol is to select one piece of fruit at random from each of the two baskets. What is the probability that one of the two pieces of fruit selected will be an apple and the other will be an orange?
(A) 1/4
(B) 1/2
(C) 1/24
(D) 5/24
(E) 13/24
PS63210.02
(A) 1/4
(B) 1/2
(C) 1/24
(D) 5/24
(E) 13/24
PS63210.02
28 Apr 2020, 09:50
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gmatt1476
Carol purchased one basket of fruit consisting of 4 Apples and 2 Oranges and another basket of fruit consisting of 3 Apples and 5 Oranges. Carol is to select one piece of fruit at random from each of the two baskets. What is the probability that one of the two pieces of fruit selected will be an apple and the other will be an orange?
(A) 1/4
(B) 1/2
(C) 1/24
(D) 5/24
(E) 13/24
PS63210.02
(A) 1/4
(B) 1/2
(C) 1/24
(D) 5/24
(E) 13/24
PS63210.02
Let's name the baskets!
Basket A has 4 Apples and 2 Oranges
Basket B has 3 Apples and 5 Oranges
P(1 of each type) = P(select apple from basket A AND orange from basket B OR select orange from basket A AND apple from basket B)
= [P(apple from basket A) x P(orange from basket B)] + [P(orange from basket A) x P(apple from basket B)]
= [4/6 x 5/8] + [2/6 x 3/8]
= 20/48 + 6/48
= 26/48
= 13/24
Answer: E
Cheers,
Brent
13 May 2020, 07:18
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gmatt1476
Carol purchased one basket of fruit consisting of 4 Apples and 2 Oranges and another basket of fruit consisting of 3 Apples and 5 Oranges. Carol is to select one piece of fruit at random from each of the two baskets. What is the probability that one of the two pieces of fruit selected will be an apple and the other will be an orange?
(A) 1/4
(B) 1/2
(C) 1/24
(D) 5/24
(E) 13/24
(A) 1/4
(B) 1/2
(C) 1/24
(D) 5/24
(E) 13/24
The probability of selecting an orange from the first basket and an apple from the second basket is:
2/6 x 3/8 = 1/3 x 3/8 = 3/24
The probability of selecting an apple from the first basket and an orange from the second basket is:
4/6 x 5/8 = 2/3 x 5/8 = 10/24
Thus, the overall probability is 3/24 + 10/24 = 13/24.
Answer: E
