Independent & Dependent Probability

Front

What is independent probability?

Back

Independent probability refers to the likelihood of an event occurring that is not affected by the occurrence of another event.

Front

What is dependent probability?

Back

Dependent probability refers to the likelihood of an event occurring that is affected by the occurrence of another event.

Front

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

Back

To find the probability of two independent events A and B occurring, multiply their probabilities: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of two dependent events occurring?

Back

To find the probability of two dependent events A and B occurring, multiply the probability of the first event by the probability of the second event given the first: P(A and B) = P(A) * P(B|A).

Front

What is the probability of rolling a 3 on a 6-sided die?

Back

The probability of rolling a 3 on a 6-sided die is 1/6.

Front

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

Back

The probability of rolling an even number (2, 4, or 6) on a 6-sided die is 3/6 or 1/2.

Front

If you roll a die and do not replace it, how does it affect the next roll?

Back

If you do not replace the die, the total number of outcomes changes, affecting the probability of the next roll.

Front

What is the total number of outcomes when spinning two spinners with 6 and 8 sections?

Back

The total number of outcomes when spinning two spinners is 6 * 8 = 48.

Front

What is the probability of guessing all answers correctly on a 5-question true/false quiz?

Back

The probability of guessing all answers correctly is (1/2)^5 = 1/32.

Front

What is the probability of picking a blue marble and then a red marble with replacement?

Back

The probability of picking a blue marble and then a red marble with replacement is P(blue) * P(red).