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  • Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Outcomes: 3 head 2 head 1 head No head frequency : 23 72

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Outcomes: 3 head 2 head 1 head No head frequency : 23 72 77 28 Find the probability of getting : (1) three heads (2)two heads and one tail (3) at least two heads .

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Solution:  Let us define the following events :

                A = Getting three heads 

                B = Getting two heads and one tail 

                C = Getting at least two heads . 

We have,  Total number of trials = 200

Number of trials in which we gate three haeds i.e. in  which event A happens = 23

Number of trials in which we get two heads and one tail i.e. in which event B happens = 72

Number of trials in which we get either two heads and one tail or all heads i.e. in which event C happens = 72+23=95

Hence ,         P(A)=frac23200=0.165 , hspace.2cm P(B)=frac72200=0.36 hspace.2cmand hspace.2cm P(C)=frac95200=0.475

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Deependra Verma

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