Question

The tree diagram below shows all of the possible outcomes for flipping three coins.

A tree diagram has outcomes (H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).

What is the probability that at least two of the coins will be tails?

Answer 1

Answer:

1/2

Step-by-step explanation:

Let H = the possible outcomes that include flipping heads

Let T = the possible outcomes that include flipping tails

In order to have an outcome of two coins having tails, that means for each outcome, you must have at least two T's.

Therefore, the possible outcomes are:

(H, T, T)

(T, H, T)

(T, T, H)

(T, T, T)

This is 4 possible outcomes, and since we want to find the probability we find the total number of outcomes and make a fraction.

$4/8 = 1/2$

There are 8 outcomes, and since 4 work for this scenario, the answer is 1/2.

#LearnWithBrainly