Question

two players each toss a coin three times. what is the probability that they get the same number of tails? answer correctly in two decimal places

Answer 1

0.31

Explanation:

The first person can toss:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

The second person can toss the same, so the total number of sets of tosses of the first person and second person is 8 × 8 = 64.

Of these 64 different combinations, how many have the same number of tails for both people?

First person Second person

HHH HHH 0 tails

HHT HHT, HTH, THH 1 tail

HTH HHT, HTH, THH 1 tail

HTT HTT, THT, TTH 2 tails

THH HHT, HTH, THH 1 tail

THT HTT, THT, TTH 2 tails

TTH HTT, THT, TTH 2 tails

TTT TTT 3 tails

total: 20

There are 20 out of 64 results that have the same number of tails for both people.

p(equal number of tails) = 20/64 = 5/16 = 0.3125

Answer: 0.31