Day 141: 8.11 Solving Independent Probability (short)

Front

What is the definition of 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 events.

Front

What is the probability of flipping two fair coins and both showing tails?

Back

1/4

Front

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

Back

Multiply the probabilities of each independent event.

Front

What is the probability of rolling a number cube and landing on a 4?

Back

1/6

Front

What is the probability of rolling a number cube and landing on any even number?

Back

3/6 or 1/2.

Front

If you roll a number cube twice, what is the probability of rolling a 4 first and then an even number?

Back

1/12.

Front

In a bag of 12 marbles, how do you calculate the probability of selecting a specific color marble?

Back

Divide the number of marbles of that color by the total number of marbles.

Front

What is the probability of choosing a purple marble from a bag of 12 marbles containing 3 purple marbles?

Back

3/12 or 1/4.

Front

What is the probability of choosing a red marble after replacing a purple marble in a bag of 12 marbles?

Back

2/12 or 1/6.

Front

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

Back

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