MHT CET · Maths · Probability
If a die is thrown at random, then the expectation of the number on it is
- A 2.4
- B 3.5
- C 2.1
- D 3.3
Answer & Solution
Correct Answer
(B) 3.5
Step-by-step Solution
Detailed explanation
(D)
When a die is thrown, probability of getting any number from 1 to 6 is \(\frac{1}{6}\). Expectation of a number on it to occur
\(=\left(1 \times \frac{1}{6}\right)+\left(2 \times \frac{1}{6}\right)+\left(3 \times \frac{1}{6}\right)+\left(4 \times \frac{1}{6}\right)~+\) \(\left(5 \times \frac{1}{6}\right)+\left(6 \times \frac{1}{6}\right)\)
\(=\frac{1}{6}(1+2+3+4+5+6)=\frac{21}{6}=3.5\)
When a die is thrown, probability of getting any number from 1 to 6 is \(\frac{1}{6}\). Expectation of a number on it to occur
\(=\left(1 \times \frac{1}{6}\right)+\left(2 \times \frac{1}{6}\right)+\left(3 \times \frac{1}{6}\right)+\left(4 \times \frac{1}{6}\right)~+\) \(\left(5 \times \frac{1}{6}\right)+\left(6 \times \frac{1}{6}\right)\)
\(=\frac{1}{6}(1+2+3+4+5+6)=\frac{21}{6}=3.5\)
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