Engineering Mathematics
Probability and Statistics
Practice questions from Probability and Statistics.
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IncorrectA pot contains two red balls and two blue balls. Two balls are drawn from this pot randomly without replacement.
What is the probability that the two balls drawn have different colours?
Red balls , Blue balls
Total balls .
Total No. of ways of selecting 2 balls
No. of ways of withdrawn 2 balls of different colours
Hence, option (a) is correct.
Two fair dice (with faces labeled , and 6) are rolled. Let the random variable denote the sum of the outcomes obtained.
The expectation of is _________ (rounded off to two decimal places).
Given that is a random variable, denote the sum of the outcomes when two fair dice is rolled.
Sum of two dice
Sum | Possible Pairs | No. of ways |
2 | 1 | |
3 | 2 | |
4 | 3 | |
5 | 4 | |
6 | 5 | |
7 | 6 | |
8 | 5 | |
9 | 4 | |
10 | 3 | |
11 | 2 | |
12 | 1 |
X | 2 | 3 | 4 | 5 | 6 |
X | 7 | 8 | 9 | 10 | 11 | 12 |
