If two coins are tossed in the air, what is the probability that both coins will land on "heads"?

Solution:

Let H be the head and T be the tail.

When two coins are tossed, the Sample space will be S = {HH, HT, TH, TT}

Total number of outcomes n(S) = 4

We have only one outcome where both the coins have 'heads'.

i.e., = {H, H}

Number of favorable outcomes n(A) = 1

⇒ P(E) = Number of favorable outcomes/Total number of outcomes.

P(getting heads) = n(A)/n(S)

= 1/4

Therefore, the probability that both coins will land on "heads" is 1/4.

If two coins are tossed in the air, what is the probability that both coins will land on "heads"?

Summary:

If two coins are tossed in the air, the probability that both coins will land on "heads" is 1/4.