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28 Mar 2024, 01:30
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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:
55%
(hard)
Question Stats:
69% (01:56) correct
31%
(01:47)
wrong
based on 264
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A bag of 100 jellybeans contains cherry, licorice, and orange jellybeans. What is the probability of pulling out, without replacement, four jellybeans in the following order: cherry, orange, orange, licorice?
(1) The probability of pulling either a licorice or an orange jellybean is 4/5.
(2) The probability of pulling either a cherry or a licorice jellybean is 3/5.
(1) The probability of pulling either a licorice or an orange jellybean is 4/5.
(2) The probability of pulling either a cherry or a licorice jellybean is 3/5.
28 Mar 2024, 06:19
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Bunuel
Question: probability of pulling out, without replacement, four jellybeans in the following order: cherry, orange, orange, licorice?
To answer this question we need to know the exact count of each of these types
Statement 1: The probability of pulling either a licorice or an orange jellybean is 4/5.
i.e. Total licorice or an orange jellybean = (4/5)*100 = 80
i.e. Total Cherry = 100-80 = 20
NOT SUFFICIENT
Statement 2: The probability of pulling either a cherry or a licorice jellybean is 3/5.
i.e. Total licorice and cherry jellybean = (3/5)*100 = 60
i.e. Total orange = 100-60 = 40
NOT SUFFICIENT
Combining the statements
Cherry = 20
Orange = 60
i.e. Licorice = 100-20-60 = 20
Required Probability = (20/100)*(60/99)*(59/98)*(20/97)
SUFFICIENT
Answer: Option C
Bunuel
05 Apr 2026, 10:45
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Shouldn't Orange and Licorice both should be 40?
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