What is the probability of tossing a penny and landing on heads three times in a row?

1 Answer
Apr 18, 2016

#p_3 = p*p*p = 1/2 * 1/2 * 1/2 = 1/8#

Explanation:

The probability of getting heads when tossing a penny is:

#p = 1/2#

The probability of getting heads the first and second time is simply the two probabilities multiplied together:

#p_2 = p*p = 1/2 * 1/2 = 1/4#

Similarly, the probability of throwing heads 3 times in a row is:

#p_3 = p*p*p = 1/2 * 1/2 * 1/2 = 1/8#

This is equivalent to saying that this is one out of 8 possible outcomes. The 8 possibilities are:

hhh, hht, hth, htt, thh, tht, tth, ttt

and our outcome is one out of 8 equally probable outcomes - so the answer of #1/8# makes sense.