Question

An unfair coin has probability 0.3 of landing heads. The coin is tossed five times. What is the probability that it lands heads at least once? Round the answer to FOUR decimal places.

P (Lands heads at least once) = ______________________

Answer 1

The probability that the unfair coin lands heads at least once when tossed five times is 0.83193.

Step-by-step explanation:

To find the probability of the coin landing heads at least once, we need to find the probability of the coin not landing heads in any of the five tosses and subtract it from 1. Since the probability of the coin landing heads is 0.3, the probability of the coin not landing heads in a single toss is 1 - 0.3 = 0.7. Therefore, the probability of the coin not landing heads in any of the five tosses is 0.7^5.

To find the probability of the coin landing heads at least once, we subtract the probability of the coin not landing heads from 1:

P(Lands heads at least once) = 1 - 0.7^5 = 1 - 0.16807 = 0.83193.