Kevin is conducting an experiment where he flips a two-sided coin 2 times. How many different combinations of outcomes could the experiment have?

Question

A.
6
B.
4
C.
8
D.
2

Answer 1

When flipping a two-sided coin, each flip has 2 possible outcomes: heads (H) or tails (T). If Kevin flips the coin 2 times, the total number of combinations of outcomes can be calculated using the formula for combinations of independent events.

For each flip:

• First flip: 2 outcomes (H or T)
• Second flip: 2 outcomes (H or T)

Total combinations = (outcomes from first flip) × (outcomes from second flip) = 2 × 2 = 4.

The possible outcomes from flipping the coin twice are:

1. HH (Heads, Heads)
2. HT (Heads, Tails)
3. TH (Tails, Heads)
4. TT (Tails, Tails)

Thus, the total number of different combinations of outcomes for the experiment is 4.

Therefore, the answer is B. 4.