Two coins are tossed once. Write the elements of the outcomes .Also find the probability of getting i) both heads ii) exactly one head iii)no heads
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I Think ,1. 1 , 2.1/2 3.no chance
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s={tt,hh,th,ht}
n(s)=4
i)let a be the event of getting both heads
A={hh} n(A)=1
p(A)=n(a)/n(s)
=1/4
ii)let b be the event of getting exactly one head
B={th,ht} n(B)=2
p(B)=n(b)/n(s)
=2/4=1/2
iii)let c be the event of getting no heads
C={tt} n(c)=1
p(c)=n(c)/n(s)
=1/4
n(s)=4
i)let a be the event of getting both heads
A={hh} n(A)=1
p(A)=n(a)/n(s)
=1/4
ii)let b be the event of getting exactly one head
B={th,ht} n(B)=2
p(B)=n(b)/n(s)
=2/4=1/2
iii)let c be the event of getting no heads
C={tt} n(c)=1
p(c)=n(c)/n(s)
=1/4
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