General Addition Rule of Probability

Front

What is the General Addition Rule of Probability?

Back

The General Addition Rule states that for any two events A and B, the probability of A or B occurring is given by: P(A or B) = P(A) + P(B) - P(A and B).

Front

How do you calculate the probability of spinning green or blue if the spinner has 6 equal sections: 2 green, 2 blue, and 2 red?

Back

P(green or blue) = P(green) + P(blue) = \frac{2}{6} + \frac{2}{6} = \frac{4}{6} = \frac{2}{3}.

Front

What is the probability of choosing a card that is a spade or a 7 from a standard deck of 52 cards?

Back

P(spade or 7) = P(spade) + P(7) - P(spade and 7) = \frac{13}{52} + \frac{4}{52} - \frac{1}{52} = \frac{16}{52} = \frac{4}{13}.

Front

If a spinner has 3 sections: purple, green, and yellow, what is the probability of spinning purple or green?

Back

P(purple or green) = P(purple) + P(green) = \frac{1}{3} + \frac{1}{3} = \frac{2}{3}.

Front

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

Back

P(5 or diamond) = P(5) + P(diamond) - P(5 and diamond) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52} = \frac{16}{52} = \frac{4}{13}.

Front

How do you determine P(packers or male) if there are 75 packers, 90 males, and 50 who are both?

Back

P(packers or male) = P(packers) + P(male) - P(both) = \frac{75}{150} + \frac{90}{150} - \frac{50}{150} = \frac{115}{150}.

Front

What is the probability of spinning a number greater than 3 on a spinner with numbers 1 to 6?

Back

P(number > 3) = P(4) + P(5) + P(6) = \frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}.

Front

Define mutually exclusive events in probability.

Back

Mutually exclusive events are events that cannot occur at the same time. For example, when flipping a coin, getting heads and tails are mutually exclusive.

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) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}.

Front

Explain the concept of independent events in probability.

Back

Independent events are events where the occurrence of one event does not affect the occurrence of another. For example, flipping a coin and rolling a die are independent events.