12/06/24 Probability - Addition Rule

Front

What is the Addition Rule in probability?

Back

The Addition Rule states that the probability of the occurrence of at least one of two events A or B is given by P(A or B) = P(A) + P(B) - P(A and B).

Front

How do you calculate the probability of selecting a yellow or green marble from a jar containing 1 red, 3 green, 2 blue, and 4 yellow marbles?

Back

Total marbles = 1 + 3 + 2 + 4 = 10. Probability of yellow or green = (3 green + 4 yellow) / 10 = 7/10.

Front

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

Back

Numbers greater than 3: 4, 5, 6 (3 outcomes). Even numbers: 2, 4, 6 (3 outcomes). P(greater than 3 or even) = P(greater than 3) + P(even) - P(both) = 3/6 + 3/6 - 1/6 = 2/3.

Front

What is the probability of rolling a 2 or a 5 on a 6-sided die?

Back

There are 2 favorable outcomes (2 and 5) out of 6 possible outcomes. Therefore, P(2 or 5) = 2/6 = 1/3.

Front

In a class of 30 students, how do you calculate the probability of choosing a girl or an A student?

Back

Total students = 30. Girls = 13, A students = 4 boys + 5 girls = 9. P(girl or A student) = (13 + 9 - 5) / 30 = 17/30.

Front

What is the probability of choosing a number from 1 to 10 that is a 5 or an even number?

Back

Even numbers from 1 to 10: 2, 4, 6, 8, 10 (5 outcomes). P(5 or even) = (1 + 5) / 10 = 6/10 = 3/5.

Front

Define mutually exclusive events in probability.

Back

Mutually exclusive events are events that cannot occur at the same time. For example, rolling a 2 and rolling a 5 on a single die.

Front

What is the probability of selecting a red marble from a jar containing 1 red, 3 green, 2 blue, and 4 yellow marbles?

Back

Total marbles = 10. Probability of red = 1/10.

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.

Front

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

Back

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