Question
Download Solution PDFTwo fair dice are rolled together. What is the probability of getting the sum of the numbers appearing on their tops as 6 and one of the dice shows number 2 on its top?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two fair dice are rolled.
Sum of numbers = 6.
One die shows number 2.
Formula used:
Probability = Number of favorable outcomes / Total number of outcomes
Calculation:
Total number of outcomes when two dice are rolled = 6 × 6 = 36
Favorable outcomes:
Pairs with sum 6 and one die showing 2 is
(2, 4)
(4, 2)
Number of favorable outcomes = 2
Now,
Probability = 2 / 36 = 1 / 18
∴ The probability is 1/18.
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