A tree diagram. The outcomes are (h, h, h), (h, h, t), (h, t, h), (h, t, t), (t, h, h), (t, h, t), (t, t, h), (t, t, t).

This tree diagram shows all the possible outcomes for tossing a coin three times.

How many possible outcomes are there when a coin is tossed 3 times?

How many outcomes include exactly one tail?

Number of possible outcomes when a coin is tossed 3 times = 8

Number of outcomes which include exactly one tail = 3

Explanation:

Given: When a coin is tossed three times, the outcomes are (h, h, h), (h, h, t), (h, t, h), (h, t, t), (t, h, h), (t, h, t), (t, t, h), (t, t, t)

To find: number of possible outcomes when a coin is tossed 3 times

number of outcomes which include one tail

Solution:

An outcome is a result of an experiment. An event can have more than one possible outcome.

Number of possible outcomes when a coin is tossed 3 times = 8

Outcomes that include exactly one tail are (h, h, t), (h, t, h), (t, h, h).

Number of outcomes which include exactly one tail = 3