MHT CET · Maths · Probability
The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is
- A 5
- B \(\frac{8}{3}\)
- C 1
- D 2
Answer & Solution
Correct Answer
(D) 2
Step-by-step Solution
Detailed explanation
Probability of getting \(1=\frac{3}{6}=\frac{1}{2}\)
Probability of getting \(2=\frac{2}{6}=\frac{1}{3}\)
Probability of getting \(5=\frac{1}{6} \therefore \quad\) Mean \(=\Sigma \mathrm{p}_{\mathrm{i}} \mathrm{x}_{\mathrm{i}}=2\)
Probability of getting \(2=\frac{2}{6}=\frac{1}{3}\)
Probability of getting \(5=\frac{1}{6} \therefore \quad\) Mean \(=\Sigma \mathrm{p}_{\mathrm{i}} \mathrm{x}_{\mathrm{i}}=2\)
| \(\text{x}_\text{i}\) | \(\text{p}_\text{i}\) | \(\text{p}_\text{i} \text{x}_\text{i}\) |
| \(1\) | \(1/2\) | \(1/2\) |
| \(2\) | \(1/3\) | \(2/3\) |
| \(5\) | \(1/6\) | \(5/6\) |
| \(\text{Total}\) | \(2\) |
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