A box contains 10 cards numbered 1 through 10. Which events are mutually exclusive?
(Points : 4)
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 8.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 7.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 9.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 9. -^my answer
Huh?
how can it be even and 9 ????
To determine which events are mutually exclusive, we need to consider whether they can occur at the same time or not. If two events cannot occur simultaneously, they are mutually exclusive.
Looking at the options provided:
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 8.
These two events can occur simultaneously. If a card is drawn and the number is 8, it is an even number.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 7.
These two events can occur simultaneously. If a card is drawn and the number is 7, it is an odd number.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 9.
These two events can occur simultaneously. If a card is drawn and the number is 9, it is not an even number.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 9.
These two events can occur simultaneously. If a card is drawn and the number is 9, it is an odd number.
From the options provided, the events "A card is drawn from the box and the number is 8" and "A card is drawn from the box and the number is 9" are mutually exclusive. The remaining options do not represent mutually exclusive events.