Probability and combinations

Front

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

Back

The probability is 1/3, since there are 2 favorable outcomes (1 and 6) out of 6 possible outcomes.

Front

How do you calculate the theoretical probability of an event?

Back

Theoretical probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

If a bag contains 3 red, 2 blue, 4 green, and 1 yellow marble, what is the probability of pulling a red marble?

Back

The probability is 3/10.

Front

What is the total number of outcomes when flipping a coin?

Back

There are 2 outcomes: heads or tails.

Front

How many letters are in the word MATH?

Back

There are 4 letters in the word MATH.

Front

What is the probability of choosing a letter from the word MATH and then getting tails when flipping a coin?

Back

The probability is 1/13.

Front

How many different arrangements can be made with the letters in the word RHOMBUS?

Back

There are 840 different arrangements.

Front

What is the formula for combinations?

Back

The formula for combinations 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

If Rob has 6 siblings, how many ways can his parents choose 4 siblings to do chores?

Back

There are 35 ways to choose 4 siblings.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.