Question

A fair coin is tossed 29 times. What is the probability that atleast 2 tails occur?

Answer 1

To find the probability of getting at least 2 tails when a fair coin is tossed 29 times, we need to calculate the probability of getting 0 tails and 1 tail, and then subtract that from 1 to get the probability of getting at least 2 tails.

Step-by-step explanation:

To find the probability of getting at least 2 tails when a fair coin is tossed 29 times, we need to calculate the probability of getting 0 tails and 1 tail, and then subtract that from 1 to get the probability of getting at least 2 tails.

1. The probability of getting 0 tails is (1/2)^29, since there is a 1/2 chance of getting a tail on each toss. So, P(0 tails) = (1/2)^29.
2. The probability of getting 1 tail is 29 * (1/2)^29, since there are 29 possible ways to get exactly 1 tail out of 29 tosses. So, P(1 tail) = 29 * (1/2)^29.
3. Therefore, the probability of getting at least 2 tails is 1 - P(0 tails) - P(1 tail).

Let's calculate this probability.