Question

deo lesson 5.1 example 2 - finding a theoretical probability.

1. a coin is flipped four times. what is the probability that it lands on heads exactly three times?

your turn

Explanation:

Step1: Find total possible outcomes

When a coin is flipped 4 times, each flip has 2 outcomes (H or T). By the multiplication principle, total outcomes = \(2\times2\times2\times2 = 2^4 = 16\).

Step2: Find favorable outcomes

From the list, the outcomes with exactly 3 heads are HHHT, HHTH, HTHH, THHH. So number of favorable outcomes = 4.

Step3: Calculate probability

Probability = \(\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{4}{16}=\frac{1}{4}\).

Answer:

\(\frac{1}{4}\)