Here we will learn how to find the probability of tossing two coins.

**Let
us take the experiment of tossing ****two coins simultaneously:**

When we toss two
coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e.,
in short (H, H) or (H, T) or (T, T) respectively;
where **H** is
denoted for head and **T** is
denoted for tail.

The above explanation will help us to solve the problems on finding the probability of tossing two coins.

Worked-out problems on probability involving tossing or flipping two coins:

**1. **Two different coins
are tossed randomly. Find the probability of:

(i) getting two heads

(ii) getting two tails

(iii) getting one tail

(iv) getting no head

(v) getting no tail

(vi) getting at least 1 head

(vii) getting at least 1 tail

(viii) getting atmost 1 tail

(ix) getting 1 head and 1 tail

**Solution: **

When two different coins are tossed randomly, the sample space is given by

S = {HH, HT, TH, TT}

Therefore, n(S) = 4.

**(i) getting two
heads:**

E

Therefore, P(getting 2 heads) = P(E

**(ii) getting two tails:**

E

Therefore, P(getting 2 tails) = P(E

**(iii) getting one
tail:**

E

Therefore, P(getting 1 tail) = P(E

**(iv) getting no head:**

E

Therefore, P(getting no head) = P(E

**(v) getting no tail:**

E

Therefore, P(getting no tail) = P(E

**(vi) getting at least
1 head:**

E

Therefore, P(getting at least 1 head) = P(E

**(vii) getting at
least 1 tail:**

E

Therefore, P(getting at least 1 tail) = P(E

**(viii) getting atmost
1 tail:**

E

Therefore, P(getting atmost 1 tail) = P(E

**(ix) getting 1 head
and 1 tail: **

E

Therefore, P(getting 1 head and 1 tail) = P(E

The solved examples involving probability of tossing two coins will help us to practice different questions provided in the sheets for flipping 2 coins.

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