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

ConceptRandom Variables and Its Probability Distributions

#### Question

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

#### Solution

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

#### Video TutorialsVIEW ALL [3]

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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