Question:
If three coins are tossed simultaneously, then what is the probability of getting one Head and two Tails?
If three coins are tossed simultaneously, then what is the probability of getting one Head and two Tails?
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For \(n\) coin tosses, total outcomes are \(2^n\). Count favourable cases carefully before applying probability.
Updated On: Jun 15, 2026
- \(\frac{1}{8}\)
- \(\frac{3}{8}\)
- \(\frac{1}{2}\)
- \(\frac{2}{3}\)
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The Correct Option is B
Solution and Explanation
Step 1: Find the total number of outcomes. For 3 coins, \[ n(S)=2^3=8 \] Sample space: \[ \{HHH,HHT,HTH,THH,HTT,THT,TTH,TTT\} \]
Step 2: Count favourable outcomes. Exactly one Head and two Tails occur in: \[ HTT,\quad THT,\quad TTH \] Number of favourable outcomes \[ n(E)=3 \]
Step 3: Calculate probability. \[ P(E) = \frac{n(E)}{n(S)} = \frac{3}{8} \]
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