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Which of the following pairs of events i...

Which of the following pairs of events is not mutually exclusive? 

A

Throwing a number greater than 4 with a dice/Throwing a number less than 4 with a dice.

B

Drawing a red card from a pack of cards /Draw a club from a pack of cards.

C

Drawing a diamond from a pack of cards/Drawing an ace from a pack of cards.

D

Drawing a vowel card from a set of alphabet cards/Drawing a consonant card from a set of alphabet cards.

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The correct Answer is:
C
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Mutually exclusive events

Three coins are tossed once. Describe the following events associated with this random experiment: A= Getting three heads, B= Getting two heads and one tail, C= Getting three tails D= Getting a head on the first coin. i. Which pairs of events are mutually exclusive? ii. Which events are elementary events? iii. Which events are compound events?

From a group of 2 boy and 3 girls,two children are selected at random.Describe the events.A= both selected children are girls.B= the selected group consists of one boy and one girl.C= at least one boy is selected.Which pairs (s) of events is (are) mutually exclusive?

If A and B are independent events such that 0ltP(A)lt1 and 0ltP(B)lt1 , then which of the following is not correct? (A) A and B are mutually exclusive (B) A and B' are independent (C) A' and B are independent (D) A' and B' are independent

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events: A: the sum is greater than 8 ,2 occurs on either die C: the sum is at least 7 and a multiple of 3. Which pairs of these events are mutually exclusive?

Three coins are tossed once.Let A denote the event three heads snow,B denote the event two heads and one tail show,C denote the event three tails show and D denote the event 'a head shows on the first coin.Which events are (i) mutually exclusive? (ii) simple? (iii) Compound?

Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment A: the sum is even.B: the sum is a multiple of 3. C: the sum is less than 4. D: the sum is greater than 11. Which pairs of these events are mutually exclusive?

A die is thrown twice.Each time the number appearing on it is recorded.Describe the following events: A= both numbers are odd.B= both numbers are even.C= sum of the numbers is less that 6. Also,find A uu B,A nn B,A uu C,A nn C. Which pairs of events are mutually exclusive?

Two independent events are always mutually exclusive.

S CHAND IIT JEE FOUNDATION-PROBABILITY-Question Bank
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