if three coins are tossed, what is the number of equally likely outcomes?

3
4
6
8
9

There are 2 possibilities with each coin.

TTT
HTT
THT
TTH
HHT
HTH
THH
HHH

How many is that?

If three coins are tossed, there are two possible outcomes for each coin: either it can be heads (H) or tails (T).

To find the number of equally likely outcomes, we multiply the number of possible outcomes for each coin.

For three coins, we have:

2 possible outcomes for the first coin
2 possible outcomes for the second coin
2 possible outcomes for the third coin

Therefore, the total number of equally likely outcomes is 2 * 2 * 2 = 8.

So the correct answer is 8.

To determine the number of equally likely outcomes when three coins are tossed, we need to consider the possible outcomes for each coin toss and multiply them together.

For each coin, there are two possible outcomes: heads (H) or tails (T). Since there are three coins, we multiply 2 by itself three times:

2 × 2 × 2 = 8

Therefore, there are 8 equally likely outcomes when three coins are tossed. So the correct answer is 8.