Two unbiased coins are tossed. The probability of getting at least one head is:
Two unbiased coins are tossed. The probability of getting at least one head is:
Solution
When tossing 2 coins, we need to find the probability of getting at least one head.
"At least one head" means 1 head or 2 heads (not all tails).
When two coins are tossed, all possible outcomes are:
Coin 1: H, Coin 2: H → 2 Heads
Coin 1: H, Coin 2: T → 1 Head
Coin 1: T, Coin 2: H → 1 Head
Coin 1: T, Coin 2: T → 0 Heads
Total possible outcomes
Outcomes with at least one head:
HH → Has at least one head
HT → Has at least one head
TH → Has at least one head
TT → No heads
Favorable outcomes
Alternatively, using the complement rule:
Therefore, the probability of getting at least one head is .
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