Two coins are tossed simultaneously. Find the probability of getting Head on one coin and Tail on the other coin.

Solution:

While tossing a coin, the outcome is a head or a tail. When two coins are tossed simultaneously, the sample space is as follows:

S = { HH, HT, TH, TT} when H denotes Head and T denotes tail.

When probability = Number of favorable outcomes/total number of outcomes, we get

P(Head on one and Tail on other) = P(HT) + P(TH)

= 1/4 + 1/4

= 2/4

=1/2

Therefore, the probability of getting Head on one coin and Tail on the other coin is 1/2.

Two coins are tossed simultaneously. Find the probability of getting Head on one coin and Tail on the other coin.

Summary:

When two coins are tossed simultaneously, the probability of getting head on one coin and tail on the other coin is 1/2.