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Question:
(1) Three coins are tossed once . Find the probability of getting (a) Atmost 2 heads (b) Atleast 2 heads (c) Exactly 2 tails (d) Atmost 2 tails (e) 3 heads (f) No heads
Answer:

When three coins are tossed once, then possible outcomes are:

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

Total Outcome = 8

1 . P (At most 2 heads) = 7/8

2. P (At least 2 heads) = 4/8 = 1/2

3. P (Exactly 2 tails) = 3/8

4. P (At most 2 tails) = 7/8

5. P (3 heads) = 1/8

6. P (No heads) = 1/8

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