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Find the probability distribution of number of heads in two tosses of a coin, - Mathematics and Statistics

Sum

Find the probability distribution of number of heads in two tosses of a coin,

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Solution

Let X denote the number of heads.
Sample space of the experiment is
S = {HH, HT, TH, TT}
The values of X corresponding to these outcomes are as follows.
X(HH) = 2
X(HT) = X(TH) = 1
X(TT) = 0
∴ X is a discrete random variable that can take values 0, 1, 2.
The probability distribution of X is then obtained as follows:

X 0 1 2
P(X = x) `(1)/(4)` `(2)/(4)` `(1)/(4)`
Concept: Probability Distribution of a Discrete Random Variable
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Probability Distributions
Exercise 8.1 | Q 1.04 | Page 141
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