Maths · Probability: Probability of an event, addition and multiplication theorems of probability
Jiah is doing an experiment in her math class. She flips four coins In the air.
Jiah is doing an experiment in her math class. She flips four coins In the air. What is most likely to happen?
- A. Two of the coins will be heads and two will be tails
- B. Three of the coins will be heads and one will be tail
- C. Allfour coins willbe heads
- D. None of the coins willbe heads
Step-by-step solution
There are 16 equally likely outcomes when flipping 4 coins. The number of ways to get exactly 2 heads and 2 tails is C(4,2)=6, probability = 6/16 = 0.375. For 3 heads and 1 tail: 4 ways, probability = 0.25. For all heads or all tails: 1 way each, probability = 0.0625. Thus, the most likely outcome is two heads and two tails.
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