TS EAMCET · Maths · Probability
In a game of throwing 3 coins, a player will loose ₹ \(5 /\) - for each head and gain ₹ 10 - for each tail. If a random variable \(X: S \rightarrow R\) is defined as \(X(a)=\) net gain \((a \in S)\), then the mean of the random variable is (in rupees)
- A \(\frac{15}{2}\)
- B \(-\frac{15}{2}\)
- C 15
- D 25
Answer & Solution
Correct Answer
(A) \(\frac{15}{2}\)
Step-by-step Solution
Detailed explanation
If 3 coins are throw together, then \(S=\{H H H, H H T, H T H, H T, T H H, T H T, T H, T T T\}\) Then, \(x\) has value \(-15(H H H), 0(H H T, H T H, T H H)\), \(15(\mathrm{HTT}, \mathrm{THT}, \mathrm{TTH})\) and \(30(\mathrm{MT})\). \(\therefore\) Probability distribution is…
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