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24 Dec 2020, 06:00
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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:
35%
(medium)
Question Stats:
63% (00:42) correct
37%
(00:32)
wrong
based on 95
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Shayna rolls a six-sided die twice. What is the probability that she rolls the same number both times?
(A) 1/72
(B) 1/36
(C) 1/18
(D) 1/12
(E) 1/6
(A) 1/72
(B) 1/36
(C) 1/18
(D) 1/12
(E) 1/6
24 Dec 2020, 06:29
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Total possible outcomes are 6*6=36
Total favourable outcomes = (1,1), (2,2), (3,3),(4,4),(5,4),(6,6) = 6
Probability= 6/36 = 1/6
Posted from my mobile device
Total favourable outcomes = (1,1), (2,2), (3,3),(4,4),(5,4),(6,6) = 6
Probability= 6/36 = 1/6
Posted from my mobile device
24 Dec 2020, 06:44
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There is \(6\) possible outcomes to get the same number when the dice is rolled twice. For e.g. \((1,1),(2,2),(3,3),(4,4),(5,5),(6,6)\).
For a specific number, let say \(1\), the probability of rolling it twice is \(\frac{1}{6}*\frac{1}{6}=\frac{1}{36}\)
The probability of rolling the same number twice for all 6 outcomes is \(6*\frac{1}{6}*\frac{1}{6}=\frac{1}{6}\)
IMO Ans E
For a specific number, let say \(1\), the probability of rolling it twice is \(\frac{1}{6}*\frac{1}{6}=\frac{1}{36}\)
The probability of rolling the same number twice for all 6 outcomes is \(6*\frac{1}{6}*\frac{1}{6}=\frac{1}{6}\)
IMO Ans E
