Question:
Two coins are tossed simultaneously. The probability of getting at the most one head is:
Two coins are tossed simultaneously. The probability of getting at the most one head is:
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"At most one head" includes 0 or 1 head — list all possible outcomes explicitly to avoid confusion in probability questions.
Updated On: Aug 11, 2025
- \(\frac{1}{4}\)
- \(\frac{1}{2}\)
- \(\frac{3}{4}\)
- 1
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The Correct Option is C
Solution and Explanation
Step 1: List all outcomes of tossing two coins
Sample space: \[ \{HH, HT, TH, TT\} \] Step 2: Define "at most one head"
Outcomes satisfying the condition: \[ HT, TH, TT \Rightarrow \text{3 outcomes} \] Step 3: Calculate probability
Total outcomes = 4
Favorable outcomes = 3 \[ P = \frac{3}{4} \] % Final Answer \[ \boxed{\frac{3}{4}} \]
Sample space: \[ \{HH, HT, TH, TT\} \] Step 2: Define "at most one head"
Outcomes satisfying the condition: \[ HT, TH, TT \Rightarrow \text{3 outcomes} \] Step 3: Calculate probability
Total outcomes = 4
Favorable outcomes = 3 \[ P = \frac{3}{4} \] % Final Answer \[ \boxed{\frac{3}{4}} \]
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