Probability of Independent and Dependent Events

Front

What is the probability of rolling an odd number on a number cube?

Back

There are 3 odd numbers (1, 3, 5) out of 6 total numbers, so the probability is 3/6 or 1/2.

Front

What is the probability of rolling an odd number twice in a row on a number cube?

Back

The probability of rolling an odd number twice is (1/2) * (1/2) = 1/4.

Front

What is the probability of picking 2 purple pencils from a basket of 5 purple and 9 brown pencils without replacement?

Back

The probability is (5/14) * (4/13) = 20/182 = 10/91.

Front

What is the difference between independent and dependent events in probability?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

If a student selects a pen and then a pencil from a box of 10 pens and 15 pencils, what is the probability?

Back

The probability is (10/25) * (15/24) = 150/600 = 1/4.

Front

What is the probability of selecting 2 blue marbles from a set of 4 white, 6 red, and 2 blue marbles without replacement?

Back

The probability is (2/12) * (1/11) = 2/132 = 1/66.

Front

What is the formula for calculating the probability of independent events?

Back

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

Front

What is the formula for calculating the probability of dependent events?

Back

P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given A.

Front

How do you calculate the total number of outcomes when rolling a die twice?

Back

Total outcomes = 6 (for the first roll) * 6 (for the second roll) = 36.

Front

What is the probability of selecting a red marble from a set of 4 white, 6 red, and 2 blue marbles?

Back

The probability is 6/12 or 1/2.