Olivia rolls two $6$-sided dice at the same time. One die has three red sides and three black sides. The other die has the sides numbered from $1$ to $6$. By means of a tree diagram, table of outcomes or otherwise:
Find how many different possible combinations she can roll.

Olivia rolls two $6$-sided dice at the same time. One die has three red sides and three black sides. The other die has the sides numbered from $1$ to $6$. By means of a tree diagram, table of outcomes or otherwise: Calculate the probability that she will roll a red and an even number.

Olivia rolls two $6$-sided dice at the same time. One die has three red sides and three black sides. The other die has the sides numbered from $1$ to $6$. By means of a tree diagram, table of outcomes or otherwise: Calculate the probability that she will roll a red or black and a $5$

Olivia rolls two $6$-sided dice at the same time. One die has three red sides and three black sides. The other die has the sides numbered from $1$ to $6$. By means of a tree diagram, table of outcomes or otherwise: Calculate the probability that she will roll a number less than $2$.

Ann has a bag containing $3$ blue whistles, $4$ red whistles and $1$ green whistle.

Simon has a bag containing $2$ blue whistles and $3$ red whistles.

The whistles are identical except for the color.
Ann chooses a whistle at random from her bag and Simon chooses a whistle at random from his bag.
Draw a tree diagram to represent this information and write down the probability of each of the events on the branches of the tree diagram.

Ann has a bag containing $3$ blue whistles, $4$ red whistles and $1$ green whistle.

Simon has a bag containing $2$ blue whistles and $3$ red whistles.

The whistles are identical except for the color.
Ann chooses a whistle at random from her bag and Simon chooses a whistle at random from his bag.

Calculate the probability that both Ann and Simon will choose a blue whistle.

Ann has a bag containing $3$ blue whistles, $4$ red whistles and $1$ green whistle.

Simon has a bag containing $2$ blue whistles and $3$ red whistles.

The whistles are identical except for the color.
Ann chooses a whistle at random from her bag and Simon chooses a whistle at random from his bag.

Calculate the probability that the whistle chosen by Ann will be a different color to the one chosen by Simon.

A recent study of $24$ sodas revealed that $8$ have high amounts of caffeine, $12$ have high amount of sugar and $6$ have both.
Draw a Venn diagram to represent this information.

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 sugar but not in caffeine.