Probability: Mutually Exclusive Events

Front

What are mutually exclusive events?

Back

Mutually exclusive events are events that cannot occur at the same time. If one event happens, the other cannot.

Front

How do you calculate the probability of mutually exclusive events?

Back

P(A or B) = P(A) + P(B) for mutually exclusive events A and B.

Front

What is the probability of drawing a 5 or a diamond from a standard deck of cards?

Back

16/52, since there are 4 fives and 13 diamonds, but one of the fives is also a diamond.

Front

If a bag contains 9 green marbles, 5 yellow marbles, and 6 red marbles, what is the probability of selecting a green or red marble?

Back

3/4, since there are 9 green and 6 red marbles, totaling 15 marbles.

Front

What is the probability of drawing a 10 from a standard deck of 52 cards?

Back

4/52, since there are 4 tens in a deck.

Front

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

Back

39/52, since there are 13 spades and 26 red cards (13 hearts + 13 diamonds).

Front

What is the formula for calculating the probability of the union of two mutually exclusive events?

Back

P(A or B) = P(A) + P(B) when A and B are mutually exclusive.

Front

Can two events be mutually exclusive and independent at the same time?

Back

No, if two events are mutually exclusive, the occurrence of one event means the other cannot occur, which contradicts independence.

Front

What is the probability of rolling a 2 or a 5 on a fair six-sided die?

Back

1/3, since there are two favorable outcomes (2 and 5) out of 6 possible outcomes.

Front

In a standard deck of cards, what is the probability of drawing a face card or a heart?

Back

16/52, since there are 12 face cards and 13 hearts, but 3 of the face cards are hearts.