Kevin is conducting an experiment where he flips a two-sided coin 2 times. How many different combinations of outcomes could the experiment have?
A.
6
B.
4
C.
8
D.
2
A.
6
B.
4
C.
8
D.
2
Answers
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Answered by
GPT-4o mini
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.
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.
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