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Byju's Answer

Standard XII

Mathematics

Exhaustive Events

A coin is tos...

Question

A coin is tossed 3 times. Let the event A and B as
A: "At least one head."
B: "At least one tail."
Then both the events are mutually exclusive.

False

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True

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Solution

The correct option is A False

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Similar questions

Q. A coin is tossed three times, consider the following events.

A :

'No head appears'.

B :

'Exactly one head appears'.

C :

'At least two heads appear'.
Do they form a set of mutually exclusive and exhaustive events?

Q. Three coins are tossed once. Let A denote the event ‘three heads show”, 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?

Q. Three coins are tossed once. Let

A

denote the event 'three heads show",

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?

Q. Three coins are tossed once. Let

A

denote the event ‘three heads show”,

B

denote the event “two heads and one tail show”,

C

denote the even ''three tails show'' and

D

denote the event ‘a head shows on the first coin”.

i .

Which events are mutually exclusive ?

i i .

Which events are simple ?

i i i .

Which events are compound ?

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

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A coin is tossed 3 times. Let the event A and B as A: "At least one head." B: "At least one tail." Then both the events are mutually exclusive.

The correct option is A False

A coin is tossed 3 times. Let the event A and B as
A: "At least one head."
B: "At least one tail."
Then both the events are mutually exclusive.