If Tom flips a coin 3 times, what is the probability the result are heads, heads, heads, or tails,heads, tails? (assuming we have a fair coin)

This question can be solved using a tree diagram. First we need to map out the two possible outcomes from the question:

H=heads T= tails. The first scenario is HHH, as the probability of H each time is 1/2 we multiply 1/2 * 1/2 * 1/2 to get 1/8

The second scenario is THT, again the probability of tails is the same so we multiply 1/2 * 1/2 *1/2 to get 1/8

As the question stated that it is the probability of scenario 1 OR scenario 2 we summ the probabilities to give a final answer of 1/4

RB
Answered by Ross B. Maths tutor

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