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Fill in the blanks. Probability of a s...

Fill in the blanks.
Probability of a sure event is ___P___.
Sum of the probabilities of all possible outcomes of an event is _Q_.
Probability of an event cannot be _R_ .

A

0, 0, Positive

B

0,1, Fraction

C

1 ,1,Negative

D

0 ,1,Less than 1

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to fill in the blanks based on the properties of probability. 1. **First Blank (P)**: The probability of a sure event is ___P___. - A sure event is an event that is certain to happen. The probability of such an event is always 1. - Therefore, we fill in the first blank with **1**. 2. **Second Blank (Q)**: The sum of the probabilities of all possible outcomes of an event is ___Q___. - The sum of the probabilities of all possible outcomes of an event must equal 1. This is a fundamental property of probability. - Thus, we fill in the second blank with **1**. 3. **Third Blank (R)**: The probability of an event cannot be ___R___. - The probability of an event cannot be negative. Probabilities are always between 0 and 1, inclusive. - Hence, we fill in the third blank with **negative**. So, the final answers are: - P = 1 - Q = 1 - R = negative ### Summary of Answers: - Probability of a sure event is **1**. - Sum of the probabilities of all possible outcomes of an event is **1**. - Probability of an event cannot be **negative**.
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