If C₁ and C₂ are subsets of sample space S, then which is correct? / यदि C₁ और C₂ प्रतिदर्श समष्टि S के उपसमुच्चय (Subsets) हैं, तो कौन-सा कथन सही है?

P(C₁ C₂) ≥ P(C₁) + P(C₂)

Agricultural Statistics Practice Questions (Q31-35) - Statistical Sciences

ICAR PG Statistical Sciences 29 Jun 2024Shift 1

MCQ (Single Correct) +4 −1

If $C_1$ and $C_2$ are subsets of sample space $S$, then which is correct?

यदि $C_1$ और $C_2$ प्रतिदर्श समष्टि $S$ के उपसमुच्चय (Subsets) हैं, तो कौन-सा कथन सही है?

$P(C_1 \cap C_2) \ge P(C_1)$ $P(C_1 \cap C_2) \ge P(C_1)$ $P(C_1 \cap C_2) \ge P(C_2)$ $P(C_1 \cap C_2) \ge P(C_2)$ $P(C_1 \cap C_2) \le P(C_1 \cup C_2)$ $P(C_1 \cap C_2) \le P(C_1 \cup C_2)$ $P(C_1 \cup C_2) \ge P(C_1) + P(C_2)$ $P(C_1 \cup C_2) \ge P(C_1) + P(C_2)$

ICAR PG Statistical Sciences 29 Jun 2024Shift 1

MCQ (Single Correct) +4 −1

Two dice are rolled simultaneously. What is the probability that the sum of numbers on the dice is 9?

दो पासे एक साथ फेंके जाते हैं। पासों पर आने वाली संख्याओं का योग 9 होने की प्रायिकता क्या है?

1/9 1/9 1/2 1/2 1/4 1/4 1/6 1/6

ICAR PG Statistical Sciences 29 Jun 2024Shift 1

MCQ (Single Correct) +4 −1

Given $P(A) = p_1$, $P(B) = p_2$, and $P(A \cap B) = p_3$. Then $P(A' \cap B')$ will be:

यदि $P(A) = p_1$, $P(B) = p_2$, और $P(A \cap B) = p_3$ दिया गया है, तो $P(A' \cap B')$ का मान क्या होगा?

$1 - p_1 - p_2 - p_3$ $1 - p_1 - p_2 - p_3$ $1 - p_3 - p_2$ $1 - p_3 - p_2$ $1 - p_3$ $1 - p_3$ $1 - p_1 - p_2 + p_3$ $1 - p_1 - p_2 + p_3$

ICAR PG Statistical Sciences 29 Jun 2024Shift 1

MCQ (Single Correct) +4 −1

If $P(A \cup B) = 5/6$, $P(A \cap B) = 1/3$ and $P(\overline{B}) = 1/2$, then the events $A$ and $B$ are:

यदि $P(A \cup B) = 5/6$, $P(A \cap B) = 1/3$ और $P(\overline{B}) = 1/2$ हो, तो घटनाएं $A$ और $B$ हैं:

Dependent आश्रित Mutually exclusive परस्पर अपवर्जी Independent स्वतंत्र Equally likely समसंभावी

ICAR PG Statistical Sciences 29 Jun 2024Shift 1

MCQ (Single Correct) +4 −1

If $P(A) = 0.25$, $P(B) = 0.50$ and $P(A \cap B) = 0.14$, then the probability that neither $A$ nor $B$ occurs is:

यदि $P(A) = 0.25$, $P(B) = 0.50$ और $P(A \cap B) = 0.14$ हो, तो न तो $A$ और न ही $B$ के घटित होने की प्रायिकता है:

0.35 0.35 0.61 0.61 0.39 0.39 0.89 0.89

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