three unbaised coin are tossed once .what is the probability of getting at least two heads.
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Solution :
The sample space that can be constructed as follows
s={ TTT,TTH,THT,THH,HTT,HTH,HHT,HHH }
T- denotes tail
H - denotes head
now ,
n( s ) = 8
Let P denote the event of getting atleast 2 heads
{ THH,HTH,HHT,HHH }
n(P) = 4
Probability of at least 2 heads = n(P) /n(s)
= 4/8
= 1/2
The sample space that can be constructed as follows
s={ TTT,TTH,THT,THH,HTT,HTH,HHT,HHH }
T- denotes tail
H - denotes head
now ,
n( s ) = 8
Let P denote the event of getting atleast 2 heads
{ THH,HTH,HHT,HHH }
n(P) = 4
Probability of at least 2 heads = n(P) /n(s)
= 4/8
= 1/2
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