GATE ME 2014 Set 2 — Question 38
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Question
Consider an unbiased cubic dice with opposite faces coloured identically and each face coloured red, blue or green such that each colour appears only two times on the dice. If the dice is thrown thrice, the probability of obtaining red colour on top face of the dice at least twice is _______
Correct answer
0.25 to 0.27
Solution
The dice has 6 faces. Each color (Red, Blue, Green) appears twice.
Probability of getting Red in a single throw, .
Probability of not getting Red, .
The dice is thrown times. We need the probability of obtaining Red at least twice ().
Using Binomial distribution :
Total Probability = .
Probability of getting Red in a single throw, .
Probability of not getting Red, .
The dice is thrown times. We need the probability of obtaining Red at least twice ().
Using Binomial distribution :
Total Probability = .
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