Which of the following pair of events are "mutually exclusive" ?
A
Getting a head or a tail in a toss of a coin.
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B
Getting a '1' or getting a '6' in a single throw of a die.
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C
Drawing a 'king' or drawing a 'red card' from a pack of 52 cards.
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D
Drawing a 'red card' or drawing a 'spade' from a pack of 52 cards.
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Solution
The correct options are A Getting a head or a tail in a toss of a coin. B Getting a '1' or getting a '6' in a single throw of a die. D Drawing a 'red card' or drawing a 'spade' from a pack of 52 cards. Mutually exclusive events are those events in which the occurence of one event prevents the occurance of the other event.
Getting a head and a tail cannot occur at the same time.
Getting a '1' or a '6' also cannot occur at the same time.
A king can also be a red card so both the events can happen together.
Drawing a red card and a spade cannot happen at the same time.