The probability that a person flipping a coin gets:
(a) The third head on the seventh flip; is 0.117.
(b) The first head on the fourth flip is 0.0625.
What is the probability of flipping a coin?
If one flip a coin there is always a chance that one can get a head or a tail and it is 50 percent.
Note that:
For the 3rd head to be on the 7th trial, then the other 2 heads will also be in the 6 trials;
Note also that the probability of having a head at any trial is= 1/2.
P(3rd head on 7th flip)=P(X=2 in 6 trials) . 1/2
([tex]n} \atop x}} \right.[/tex]) pˣ (1-p)ⁿ⁻ˣ. 1/2
=(⁶₂) (1/2)² (1/2)⁶⁻². 1/2
0.117
b. The probability of getting first head on the fourth flip.
That is, P (1st head on 4th flip)=P(X=0 in 3 trials) ⋅1/2
=([tex]3} \atop {0}} \right.[/tex])([tex]1/} \atop {2}} \right.[/tex])°([tex]1} \atop {/2}} \right.[/tex])₃³⁻°.(1/2)
=1/2⁴
=0.0625
Learn more about Flipping coins from
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