Two heads

Probability Level 2

What is the probability that exactly two heads will come up when three coins are flipped?

2 3 \frac{2}{3} 1 2 \frac{1}{2} 5 8 \frac{5}{8} 3 8 \frac{3}{8}

Kelp_ Huan by kelp_ huan , 14, China

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2 solutions

Kelp_ Huan
Aug 1, 2020

There are 2 3 2^3 combinations when 3 coins are flipped and there are 3 combinations (HHT, THH, HTH) where there are 2 heads so the answer is 3 8 \frac{3}{8}

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Mahdi Raza
Aug 4, 2020
1. HHH \text{HHH}
2. HHT \text{HHT}
3. HTH \text{HTH}
4. HTT \blue{\text{HTT}}
5. THH \text{THH}
6. THT \blue{\text{THT}}
7. TTH \blue{\text{TTH}}
8. TTT \text{TTT}
0 Helpful 0 Interesting 0 Brilliant 0 Confused

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