12.1 Compound Probability

Front

What is Compound Probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can be calculated for independent events by multiplying their individual probabilities.

Front

Define Independent Events in Probability.

Back

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

Front

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

Back

To find the probability of two independent events A and B occurring together, use the formula: P(A and B) = P(A) * P(B).

Front

What is the probability of drawing a black checker from a bag of 6 black and 4 red checkers?

Back

The probability of drawing a black checker is P(Black) = Number of Black Checkers / Total Checkers = 6 / (6 + 4) = 6/10 = 3/5.

Front

If you replace the checker after drawing, what is the probability of drawing two black checkers in a row?

Back

P(Black 1st) * P(Black 2nd) = (6/10) * (6/10) = 36/100 = 9/25.

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

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

Front

In a class with 18 juniors and 10 seniors, what is the probability of selecting a junior or a female if 6 seniors are female?

Back

Total students = 18 + 10 = 28. P(Junior or Female) = (18 + 6) / 28 = 24/28.

Front

How do you calculate the probability of selecting a female OR someone who prefers Jeeps from a table?

Back

Use the formula: P(Female or Jeep) = P(Female) + P(Jeep) - P(Female and Jeep).

Front

What is the formula for calculating the probability of two events A and B occurring together if they are independent?

Back

P(A and B) = P(A) * P(B).

Front

If P(A) = 1/2 and P(B) = 2/7, what is P(A and B)?

Back

P(A and B) = (1/2) * (2/7) = 1/7.