Probability and combinations

Front

What is the difference between permutation and combination?

Back

Permutation refers to the arrangement of items in a specific order, while combination refers to the selection of items without regard to the order.

Front

Define probability.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is a theoretical probability?

Back

Theoretical probability is the probability calculated based on the possible outcomes in a perfect scenario, without any experimental data.

Front

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of rolling a 1 or a 6 on a fair six-sided die?

Back

The probability is 2/6 or 1/3.

Front

If a bag contains 3 red, 2 blue, and 4 green marbles, what is the probability of drawing a blue marble?

Back

The probability is 2/9.

Front

What is a combination formula?

Back

The combination formula is C(n, r) = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.

Front

What is a permutation formula?

Back

The permutation formula is P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.

Front

What is the probability of selecting a brown candy from a bowl with 20 candies?

Back

If there are 2 brown candies, the probability is 2/20 or 1/10.

Front

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

Back

Multiply the probabilities of each event: P(A and B) = P(A) * P(B).