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 ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes: P(Event) = Number of Favorable Outcomes / Total Outcomes.

Front

What is the probability of picking a red or blue marble from a jar containing 2 pink, 6 red, and 4 blue marbles?

Back

P(Red or Blue) = (Number of Red + Number of Blue) / Total Marbles = (6 + 4) / (2 + 6 + 4) = 10/12 = 5/6.

Front

If a bowl contains 4 yellow, 6 orange, 3 green, 5 blue, and 2 brown M&Ms, what is P(Yellow or Green)?

Back

P(Yellow or Green) = (Number of Yellow + Number of Green) / Total M&Ms = (4 + 3) / (4 + 6 + 3 + 5 + 2) = 7/20.

Front

What is the probability of spinning green or blue on a spinner with equal sections?

Back

If the spinner has 6 equal sections and 3 are green or blue, then P(Green or Blue) = 3/6 = 1/2.

Front

Using a spinner, what is the probability of spinning purple or green if there are 2 purple and 1 green out of 6 total sections?

Back

P(Purple or Green) = (Number of Purple + Number of Green) / Total Sections = (2 + 1) / 6 = 3/6 = 1/2.

Front

What is the probability of rolling a number greater than 3 or an even number on a 6-sided die?

Back

P(Greater than 3 or Even) = P(Greater than 3) + P(Even) - P(Greater than 3 and Even) = (3/6) + (3/6) - (1/6) = 5/6.

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 complement of an event in probability?

Back

The complement of an event A, denoted as A', is the event that A does not occur. The probability of the complement is given by P(A') = 1 - P(A).

Front

How do you find the probability of independent events occurring together?

Back

For independent events A and B, the probability of both A and B occurring is given by: P(A ∩ B) = P(A) * P(B).