FLASHCARD Mutually Exclusive Addition Rule

Front

What is the Mutually Exclusive Addition Rule in probability?

Back

The Mutually Exclusive Addition Rule states that if two events A and B cannot occur at the same time, the probability of either A or B occurring is P(A) + P(B).

Front

If P(A) = 0.3 and P(B) = 0.5, what is P(A or B) if A and B are mutually exclusive?

Back

P(A or B) = P(A) + P(B) = 0.3 + 0.5 = 0.8.

Front

What is the probability of drawing a heart or a spade from a standard deck of cards?

Back

P(Heart or Spade) = P(Heart) + P(Spade) = 1/4 + 1/4 = 1/2.

Front

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

Back

P(2 or 5) = P(2) + P(5) = 1/6 + 1/6 = 1/3.

Front

If the probability of event A is 0.2 and event B is 0.3, what is the probability of A or B if they are not mutually exclusive?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What is the range of probability values?

Back

Probability values range from 0 to 1, where 0 indicates impossibility and 1 indicates certainty.

Front

If a student is selected at random from a class of 30 students, what is the probability that the student is either a boy or a girl if there are 15 boys and 15 girls?

Back

P(Boy or Girl) = P(Boy) + P(Girl) = 15/30 + 15/30 = 1.

Front

What is the probability of getting heads in a fair coin toss?

Back

P(Heads) = 0.5.

Front

If the probability of event C is 0.4, what is the probability of not C?

Back

P(Not C) = 1 - P(C) = 1 - 0.4 = 0.6.

Front

What is the probability of drawing a red card or a king from a standard deck of cards?

Back

P(Red or King) = P(Red) + P(King) - P(Red and King) = 26/52 + 4/52 - 2/52 = 28/52.