Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

A coin is tossed twice. Then

Match List-I with List-II:

List-I

List-II

(A) P(exactly 2 heads)

(I) $\frac{1}{4}$

(B) P(at least 1 head)

(II) $1$

(C) P(at most 2 heads)

(III) $\frac{3}{4}$

(D) P(exactly 1 head)

(IV) $\frac{1}{2}$

Choose the correct answer from the options given below:

Options:

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

(A)-(I), (B)-(III), (C)-(II), (D)-(IV)

(A)-(I), (B)-(II), (C)-(IV), (D)-(III)

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

Correct Answer:

(A)-(I), (B)-(III), (C)-(II), (D)-(IV)

Explanation:

The correct answer is Option (2) → (A)-(I), (B)-(III), (C)-(II), (D)-(IV)

List-I

List-II

(A) P(exactly 2 heads)

(I) $\frac{1}{4}$

(B) P(at least 1 head)

(III) $\frac{3}{4}$

(C) P(at most 2 heads)

(II) $1$

(D) P(exactly 1 head)

(IV) $\frac{1}{2}$

$\text{Sample space }=\{HH,HT,TH,TT\}.$

$(A)\;P(\text{exactly 2 heads})=\frac{1}{4}\Rightarrow(I).$

$(B)\;P(\text{at least 1 head})=\frac{3}{4}\Rightarrow(III).$

$(C)\;P(\text{at most 2 heads})=1\Rightarrow(II).$

$(D)\;P(\text{exactly 1 head})=\frac{2}{4}=\frac{1}{2}\Rightarrow(IV).$

$(A)\rightarrow(I),\;(B)\rightarrow(III),\;(C)\rightarrow(II),\;(D)\rightarrow(IV).$