Question

Given a coin which gives heads with probability 1/4 and tails with 3/4. The coin is tossed k times. What is the probability that we get at least k/2 heads is less than or equal to?

Answer 1

We conclude that the probability to flip a head is 1/2, and the probability to flip a tail is 1/2. ... 3) The probability for a given outcome might be calculable from some ... found heads occurring 3/4 of the time, and tails 1/4 of the time, we would know that ... N=1: There are 4 possible outcomes which will have only one coin heads.

Step-by-step explanation:

Answer 2

Answer:

The probability is 0.26

Step-by-step explanation:

Given:

P(head) = p = 1/4

P(tails) = q = 3/4

To find:

P(at least 2 heads) =?

Solution:

We know that P(at least 2 heads) = 1 - [P(1 head) + P(0 head)]

Substituting k=4, we get

P(at least 2 heads) = 1 - [P(1 head) + P(0 head)]

P(at least 2 heads) = 1 - [⁴C₁ × (1/4) × (3/4)³ + (3/4)⁴]

P(at least 2 heads) = 1 - [(27/64) + (81/256)]

P(at least 2 heads) = 1 - (189/256)

P(at least 2 heads) = 67/256

P(at least 2 heads) = 0.26

Therefore, the probability that we get at least 2 heads is 0.26

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