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.
Therefore, total numbers of outcome are 2^{2} = 4The 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:
Let E_{1} = event of getting 2 heads. Then,(ii) getting two tails:
Let E_{2} = event of getting 2 tails. Then,(iii) getting one tail:
Let E_{3} = event of getting 1 tail. Then,(iv) getting no head:
Let E_{4} = event of getting no head. Then,(v) getting no tail:
Let E_{5} = event of getting no tail. Then,(vi) getting at least 1 head:
Let E_{6} = event of getting at least 1 head. Then,(vii) getting at least 1 tail:
Let E_{7} = event of getting at least 1 tail. Then,(viii) getting atmost 1 tail:
Let E_{8} = event of getting atmost 1 tail. Then,(ix) getting 1 head and 1 tail:
Let E_{9} = event of getting 1 head and 1 tail. Then,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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