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Which of the following a re examples of mutually exclusive events?

a. Obtaining a 4 and a 7 in one draw from a deck of ordinary playing cards

b. Obtaining a 3 and a 4 in one roll of two fair dice

c. Being male and becoming pregnant

d. Obtaining a 1 and an even number in one roll of a fair die

e. Getting married and remaining a bachelor

User Bassim
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1 Answer

6 votes

Answer:

a,c,d,e

Explanation:

Mutually exclusive events are events which cannot occur together or at the same time. It is either one event occurs and the other doesn't at that same time. From the examples given, the following are mutually exclusive

a. Obtaining a 4 and a 7 in one draw from a deck of ordinary playing cards. This is mutually exclusive as u can only pick a 4 or a 7 in one draw.

c. Being male and becoming pregnant. These are mutually exclusive events since they cannot occur together.

d. Obtaining a 1 and an even number in one roll of a fair die. This is mutually exclusive. The fair die has only one 1 which can occur alone at one throw.

e. Getting married and remaining a bachelor. A married man cannot be a Bachelor anymore. So they cannot occur together.

The only non mutually exclusive event is

b. Obtaining a 3 and a 4 in one roll of two fair dice. One roll of 2 fair dice can give a 3 on one and a 4 on the other.

User Ruifgmonteiro
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