Question

A fair coin is tossed 29 times. In how many outcomes do at least 3 tails occur?

a) 536,866,822
b) 1
c) 536,870,477
d) 536,870,476
e) 3,654

Answer 1

The answer to your problem is, A. 536,866,822

Explanation:

Probability is the likelihood or chance that an event will occur.

• The formula for calculating probability is expressed as:
• Probability = Expected outcome/Total outcome

If a fair coin is tossed 29 times, the total number of outcomes will be expressed as:
`2^(29) = 536,870,476`

If at least 2 tails occur, the expected outcome will be 29 times

Pr(at least 2 tails occur) =
`2^(29) - 29 - 1`

Pr(at least 2 tails occur) =
`536,870,912 - 30 = 536,866,822`

Thus the answer to your problem is, A. 536,866,822