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

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 only

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:

exactly two of these events.

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

The three events are independent.

What does 'the three events are independent' mean here? Give a reason why this may not be true in real life.

A fair six-sided spinner, $P$, has edges marked $0, 1, 2, 2, 3$ and $4 .$
A fair four-sided spinner, $Q$, has edges marked $0,-1,-1$ and $-2 .$

Each spinner is spun once and the numbers on which they come to rest are added together to give the score, $S$. Find:

$\mathrm{P}(S=2)$