HSC Commerce 12th Board ExamMaharashtra State Board
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Solution for Three Fair Coins Are Tossed Simultaneously. If X Denotes the Number of Heads, Find the Probability Distribution of X. - HSC Commerce 12th Board Exam - Mathematics and Statistics

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Question

Three fair coins are tossed simultaneously. If X denotes the number of heads, find the probability distribution
of X. 

Solution

probability of getting head 

`P=1/2` 

`q= 1 -1/2=1/2`  

The probability distribution is as follows  

x (No. of heads)  0 1 2                            3
P(x)  `3_C0(1/2)^2(1/2)^3=1/8` `3_C_1(1/2)^1(1/2)^2=3/8` `3_C_2(1/2)^2(1/2)=3/8` `3_C_3(1/2)^3(1/2)^0=1/8`

 

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APPEARS IN

 2017-2018 (March) (with solutions)
Question 4.8 | 2.00 marks
Solution Three Fair Coins Are Tossed Simultaneously. If X Denotes the Number of Heads, Find the Probability Distribution of X. Concept: Random Variables and Its Probability Distributions.
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