Question
A biased coin shows heads with probability 0.3. If it is
tossed 5 times, what is the probability of getting no more than 2 heads?Solution
We are given:
- A biased coin has P(H) = 0.3, so P(T) = 0.7
- The coin is tossed 5 times
- We need to find the probability of getting no more than 2 heads, i.e., 0, 1, or 2 heads
- n = 5 (number of trials)
- p = 0.3 (probability of head)
- k = number of heads (we’ll calculate for 0, 1, and 2)
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