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03 Dec 2025, 01:54
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
75% (02:00) correct
25%
(02:19)
wrong
based on 159
sessions
History
Date
Time
Result
Not Attempted Yet
There are 100 marbles in a jar. Forty of the marbles are black and 60 are white. What is the probability of getting at least one black marble in three consecutive picks, with replacement of the marble each time?
A. 0.216
B. 0.316
C. 0.500
D. 0.684
E. 0.784
A. 0.216
B. 0.316
C. 0.500
D. 0.684
E. 0.784
03 Dec 2025, 08:12
Kudos
Bookmarks
The probability of getting at least one black marble in three consecutive picks with replacement is 0.784.
P{No Black} = P(W_1) x P(W_2) x P(W_3) = (0.6) x (0.6) x (0.6) = (0.6)^3 = P({No Black}) = 0.216
P{No Black} = P(W_1) x P(W_2) x P(W_3) = (0.6) x (0.6) x (0.6) = (0.6)^3 = P({No Black}) = 0.216
03 Dec 2025, 10:36
Kudos
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Bunuel
There are 100 Marbles, out of which 40 are Black and 60 are White.
Probability of getting ATLEAST ONE BLACK marble in 3 Consecutive picks = ?
Replacement is allowed, which means the number of marbles remains same for all the three picks.
P(at least One black marble ) = 1 - P(all White Marbles)
= 1 - [(60/100)*(60/100)*(60/100) ]
= 1 - [(3/5)*(3/5)*(3/5)]
= 1 - 27/125
= (125-27)/125
= 98/125
= 0.784
Option E
