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Solution

✅ Correct Option: 2

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 =4= 4


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 =3= 3


Probability=Favorable outcomesTotal outcomes\text{Probability} = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Probability=34\text{Probability} = \dfrac{3}{4}


Alternatively, using the complement rule:

P(at least one head)=1−P(no heads)P(\text{at least one head}) = 1 - P(\text{no heads})

P(both tails)=12×12P(\text{both tails}) = \dfrac{1}{2} \times \dfrac{1}{2}

P(both tails)=14P(\text{both tails}) = \dfrac{1}{4}

P(at least one head)=1−14P(\text{at least one head}) = 1 - \dfrac{1}{4}

P(at least one head)=34P(\text{at least one head}) = \dfrac{3}{4}

Therefore, the probability of getting at least one head is 34\dfrac{3}{4}.

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