Question

Using the rule of multiplication, what is the probability of flipping three coins and having all three of them land on heads?

1/4

1/2

1/8

1/6

Answer 1

Using the rule of multiplication, what is the probability of flipping three coins and having all three of them land on heads?

In tossing three coins, the sample space is given by,

S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

Where, H = Head, T = Tail

And, therefore, n(S) = 8.

getting all heads

So, since the probability of one coin flip being Heads is 1/2 (assuming a fair coin), the probability of 3 coins being Heads is

=[(1/2)*(1/2)*(1/2)]= (1/2)^​​​​3 =1/8.

The probability of all three of them lands on heads is (1/8).

1/8