Two ordinary fair dice are rolled. Using a possibility diagram, find the probability of obtaining:

two numbers whose product is $6 .$

It is known that $8\%$ of all new FunX cars develop a mechanical fault within a year and that $15\%$ independently develop an electrical fault within a year. Find the probability that within a year a new FunX car develops:

both types of fault

It is known that $8\%$ of all new FunX cars develop a mechanical fault within a year and that $15\%$ independently develop an electrical fault within a year. Find the probability that within a year a new FunX car develops:

neither type of fault.

The probabilities that a team wins, draws or loses any particular game are $0.6, 0.1$ and $0.3$, respectively.

Find the probability that the team wins at least one of its next two games.

The probabilities that a team wins, draws or loses any particular game are $0.6, 0.1$ and $0.3$, respectively.

If $2$ points are awarded for a win, $1$ point for a draw and $0$ points for a loss, find the probability that the team scores a total of more than $1$ point in its next two games.

On any particular day, there is a $30\%$ chance of snow in Slushly. Find the probability that it snows there on:

none of the next $3$ days

On any particular day, there is a $30\%$ chance of snow in Slushly. Find the probability that it snows there on:

exactly one of the next $3$ days.

Fatima will enter three sporting events at the weekend. Her chances of winning each of them are shown in the following table.

Assuming that the three events are independent, find the probability that Fatima wins:

the shot put and discus