Probability is a proportion of the number of incidences of a specific outcome (in this case rolling a 2- which can happen only once) divided by the total number of outcomes (in this case there are 6 outcomes- Susie can roll a 1, 2, 3, 4, 5, or 6).

The probability of flipping a coin and having it land on heads one time is . The probability of multiple independent events can be found by multiplying the probabilities together. Independent events are events that do not influence the outcome of each other.

There are 6 possible outcomes when rolling a die. There are 2 possible outcomes that are greater than 4 (5 and 6).

Probability is a fraction between and , where the numerator is the number of desired outcomes and the denominator is the total number of outcomes.

The sample space, or the total number of possible outcomes, for rolling two six-sided dice is .

To count up the desired outcomes consider three options:

1) the first dice has a three ( outcomes)

2) the second dice has a three ( outcomes)

3) both dice have a three ( outcomes)

So the total desired outcomes is .

The subtraction is necessary because the intersection is counted twice, once for the first die and once for the second die.

Therefore the probability of rolling at least one three is  .

Probability is a fraction between and , where the numerator is the number of desired outcomes and the denominator is the total number of outcomes.

This is a counting problem where repetition is allowed.

Since there are three types of ice cream and you can choose two scoops, there are options for ice cream choices.

Since there are two types of sauces and you can choose one, there are options for sauces.

Since there are four types of toppings and you can choose two, there are options for topping.

Putting it all together, there are total sundae combinations.

Probability is a fraction between and , where the numerator is the number of desired outcomes and the denominator is the total number of outcomes.

The sample space, or the total possible outcomes, is .

There are two ways to have girls in the middle and youngest spots:

This probability is  .

Let heads and tails.

Draw out the sample space:

The desired outcomes are:

Probability is a fraction between and , where the numerator is the number of desired outcomes and the denominator is the total number of outcomes.

Therefore the probability of getting exactly one head is  .

For a standard deck of cards:

So the probability of picking red then black without replacement is given by:

More than means .

There are possible outcomes when rolling two six-sided dice.

The desired outcomes are:

This is a total of desired outcomes.

Probability is a fraction between and , where the numerator is the number of desired outcomes and the denominator is the total number of outcomes.

Therefore the probability is  .