$A die is rolled . Let us define event E_{1} as the set of possible outcomes where the number on the face of the die is even and event E_{2} as the set of possible outcomes where the number on the face of the die is odd . Event E_{1} and E_{2} are mutually exclusive .$

True

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False

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Solution

The correct option is A True

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A die is rolled . Let us define event E_{1} as the set of possible outcomes where the number on the face of the die is even and event E_{2} as the set of possible outcomes where the number on the face of the die is odd . Event E_{1} and E_{2} are mutually exclusive .

If $E_{1}, E_{2}, E_{3} \dots E_{n}$ are n events of a sample space S and if $E_{1} \cup E_{2} \cup E_{3} \cup \dots E_{n} = S$ , then $E_{1}, E_{2} \dots E_{n}$ are called mutually exclusive and exhaustive events.

Let two fair six - faced dice A and B be thrown simultaneously. If $E_{1}$ is the event that die A shows up four, $E_{2}$ is the event that die B shows up two and $E_{3}$ is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true?

Q. Events

E_{1}, E_{2}, E_{3}

are possible events of an experiment and their probabilities are recorded.Mark the possible correct answers.

Q. Events

E_{1}, E_{2}, E_{3}

are the possible outcomes of an experiment and their probabilities are recorded. Mark the possible correct answer.

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A die is rolled. Let us define event E1 as the set of possible outcomes where the number on the face of the die is even and event E2 as the set of possible outcomes where the number on the face of the die is odd. Event E1 and E2 are mutually exclusive.

The correct option is A True

$A die is rolled . Let us define event E_{1} as the set of possible outcomes where the number on the face of the die is even and event E_{2} as the set of possible outcomes where the number on the face of the die is odd . Event E_{1} and E_{2} are mutually exclusive .$