CUET · MATHS · PYQ PAPER 2023
The probability distribution of number of heads in two tosses of a coin is:
- A \(\begin{array}{llll}x_i & 0 & 1 & 2 \\p_i & \frac{1}{4} & \frac{1}{2} & \frac{1}{4}\end{array}\)
- B \(\begin{array}{llll}x_i & 0 & 1 & 2 \\p_i & \frac{1}{2} & \frac{1}{2} & \frac{1}{2}\end{array}\)
- C \(\begin{array}{llll}x_i & 0 & 1 & 2 \\p_i & \frac{1}{2} & \frac{1}{4} & \frac{1}{2}\end{array}\)
- D \(\begin{array}{llll}x_i & 0 & 1 & 2 \\p_i & \frac{1}{4} & \frac{1}{4} & \frac{1}{4}\end{array}\)
Answer & Solution
Correct Answer
(A) \(\begin{array}{llll}x_i & 0 & 1 & 2 \\p_i & \frac{1}{4} & \frac{1}{2} & \frac{1}{4}\end{array}\)
Step-by-step Solution
Detailed explanation
\( P(X=0) = \frac{1}{4} \) \( P(X=1) = \frac{2}{4} = \frac{1}{2} \) \( P(X=2) = \frac{1}{4} \) \(\begin{array}{llll}x_i & 0 & 1 & 2 \\\\p_i & \frac{1}{4} & \frac{1}{2} & \frac{1}{4}\end{array}\)
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