JAMB UTMEMathematicsStatistics2021

Probability of two heads from two coin tosses.

A1/4CORRECT
B1/2
C3/4
D1
AI
Toasta AI Explanation
Why the answer is A, and why the others tempt you.
**The reasoning** When you toss two coins, there are **four equally likely outcomes**: - First coin heads, second coin heads (HH) ✓ - First coin heads, second coin tails (HT) - First coin tails, second coin heads (TH) - First coin tails, second coin tails (TT) Only **one** of these four outcomes gives you two heads. So: P(two heads) = Number of favorable outcomes ÷ Total possible outcomes = 1/4 **Why the wrong options tempt you** **1/2** feels right if you think "each coin is 1/2, so two heads should be 1/2" — but you must multiply independent probabilities: 1/2 × 1/2 = 1/4, not add them. **3/4** might catch you if you count "at least one head" instead (HH, HT, TH = 3 outcomes). **1** would mean "certain" — clearly impossible since you could get tails! **Quick takeaway** For independent events like coin tosses, **multiply** the probabilities and always **list all possible outcomes** — don't trust your gut feeling about what "should" happen.
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