A recent study of $24$ sodas revealed that $8$ have high amounts of caffeine, $12$ have high amount of sugar and $6$ have both.

What is the probability that a soda picked at random from the group in the study is high in caffeine only.

A recent study of $24$ sodas revealed that $8$ have high amounts of caffeine, $12$ have high amount of sugar and $6$ have both.

What is the probability that a soda picked at random from the group in the study is not high in caffeine or sugar?

A bag contains four calculators $\left(C\right)$ and six protractors $\left(P\right)$. One item is taken from the bag at random and not replaced. A second item is then taken at random.

Complete the tree diagram by writing probabilities in the spaces provided.

A bag contains four calculators $\left(C\right)$ and six protractors $\left(P\right)$. One item is taken from the bag at random and not replaced. A second item is then taken at random.

Calculate the probability that one protractor and one calculator are taken from the bag.

A bag contains four calculators $\left(C\right)$ and six protractors $\left(P\right)$. One item is taken from the bag at random and is replaced. A second item is then taken at random.

Calculate the probability that one protractor and one calculator are taken from the bag.

A typical teenager should consume approximately $2000$ calories per day. A survey of $120$ students, three-fifths of which were male, revealed the following:

$80$ students ate more than the recommended amount.
Half of the girls ate less than the recommended amount.
Five-sixths of the boys ate more than the recommended amount.

The same number of boys as girls ate the recommended amount of calories.

Complete a two-way table to represent this information.

A typical teenager should consume approximately $2000$ calories per day. A survey of $120$ students, three-fifths of which were male, revealed the following:

$80$ students ate more than the recommended
amount.
Half of the girls ate less than the recommended amount.
Five-sixths of the boys ate more than the recommended amount.

The same number of boys as girls ate the recommended amount of calories.

Calculate the probability that a student selected at random ate the recommended amount of calories.

A typical teenager should consume approximately $2000$ calories per day. A survey of $120$ students, three-fifths of which were male, revealed the following:

$80$ students ate more than the recommended amount.
Half of the girls ate less than the recommended amount.
Five-sixths of the boys ate more than the recommended amount.

The same number of boys as girls ate the recommended amount of calories.

Calculate the probability that a student selected at random is male and ate less than the recommended amount.

A typical teenager should consume approximately 2000 calories per day. A survey of 120 students, three-fifths of which were male, revealed the following:

80 students ate more than the recommended
amount.
Half of the girls ate less than the recommended amount.
Five-sixths of the boys ate more than the recommended amount.

The same number of boys as girls ate the recommended amount of calories.

Calculate the probability that a student selected at random ate more than the recommended amount given that they are female.