The probability distribution of number o

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

The probability distribution of number of heads in two tosses of a coin is :

Options:

$x_i$	0	1	2
$P_i$	1/4	1/2	1/4

$x_i$	0	1	2
$P_i$	1/2	1/2	1/2

$x_i$	0	1	2
$P_i$	1/2	1/4	1/2

$x_i$	0	1	2
$P_i$	1/4	1/4	1/4

Correct Answer:

$x_i$	0	1	2
$P_i$	1/4	1/2	1/4

Explanation:

The correct answer is Option (1) →

$x_i$	0	1	2
$P_i$	1/4	1/2	1/4

X → no of heads in two tosses

$P(X=0)={^2C}_0(\frac{1}{2})^0(\frac{1}{2})^2=\frac{1}{4}$

$P(X=1)={^2C}_1(\frac{1}{2})(\frac{1}{2})=\frac{1}{2}$

$P(X=2)={^2C}_2(\frac{1}{2})(\frac{1}{2})=\frac{1}{4}$