Probability and risk test questions - National 5 Application of Maths Revision

1

There are 20 counters in a box. 9 are yellow, 4 are black and 7 are green.

What's the probability that a counter which is taken from the box without looking will be green?

\[\frac{7}{{20}}\]

\[\frac{9}{{20}}\]

\[\frac{4}{{20}}\]

2

There are 20 counters in a box. 9 are yellow, 4 are black and 7 are green.

What is the probability that a counter taken from the box without looking will be yellow or black?

\[\frac{7}{{20}}\]

\[\frac{36}{{400}}\]

\[\frac{13}{{20}}\]

3

There are 20 counters in a box. 9 are yellow, 4 are black and 7 are green.

What is the probability that a counter taken from the box without looking will be blue?

\[0\]

\[Infinity\]

\[1\]

4

There are 20 counters in a box. 9 are yellow, 4 are black and 7 are green.

What is the probability that a counter taken from the box without looking will not be black or green?

\[\frac{7}{{20}}\]

\[\frac{9}{{20}}\]

\[\frac{1}{{4}}\]

5

Two 6-sided dice are each marked 1, 1, 2, 2, 3, 3.

Jot down all the possible pairs of numbers that you can get when the two dice are thrown.

The pairs of numbers are added together to get a score. As the dice are only marked from 1-3, there is a maximum score of 6.

What is the probability of getting a score of 3?

\[\frac{2}{{9}}\]

\[\frac{1}{{18}}\]

\[\frac{1}{{9}}\]

6

Two 6-sided dice are each marked 1, 1, 2, 2, 3, 3.

Jot down all the possible pairs of numbers that you can get when the two dice are thrown.

The pairs of numbers are added together to get a score. As the dice are only marked from 1-3, there is a maximum score of 6.

What is the most likely score?

\[3\]

\[4\]

\[5\]

7

Two 6-sided dice are each marked 1, 1, 2, 2, 3, 3.

Jot down all the possible pairs of numbers that you can get when the two dice are thrown.

The pairs of numbers are added together to get a score. As the dice are only marked from 1-3, there is a maximum score of 6.

What is the probability of getting a score of 6?

\[\frac{1}{{36}}\]

\[\frac{1}{{9}}\]

\[\frac{2}{{9}}\]

8

Melanie has been recording how many times a drawing pin landed point-up after being thrown in the air.

She threw the pin 50 times and found it landed point-up 9 times.

What's the probability of it landing point-up in the next throw?

\[\frac{9}{{50}}\]

\[\frac{1}{{2}}\]

\[\frac{1}{{50}}\]

9

Melanie has been recording how many times a drawing pin landed point-up after being thrown in the air.

She threw the pin 50 times and found it landed point-up 9 times.

What's the probability it doesn't land point-up after the next throw?

\[\frac{49}{{50}}\]

\[\frac{1}{{2}}\]

\[\frac{41}{{50}}\]

10

The next day Melanie throws the drawing pin in the air 200 times.

Using her figures from the previous day, roughly how many times could she expect the drawing pin to land point-up?

\[45\]

\[27\]

\[36\]

11

Using this probability tree diagram calculate the probability that it will be sunny and the canteen will serve ice-cream at lunch.

A tree diagram showing the probability that it will be sunny and the canteen will serve ice-cream at lunch.

\[0 \cdot 06\]

\[0 \cdot 3\]

\[0 \cdot 2\]

12

David wants to travel from Glasgow to Inverness.

If he takes a bus there is a probability of \(\frac{2}{7}\) that he will be late.

If he takes a train there is a probability of \(\frac{1}{3}\) that he will be late.

Which method of transport should David take?

The bus is less likely to be late so David should take the bus.

The train is less likely to be late so David should take the train.

They both have the same chance of being on time.

13

Gemma wants to go on a beach holiday this summer.

The chance that it will rain in Greece is \(\frac{3}{20}\), the chance that it will rain in Italy is \(\frac{2}{15}\).

Which destination should Gemma choose?

Italy has a lower chance of rain, Gemma should go to Italy.

Greece has a lower chance of rain, Gemma should go to Greece.

They both have the same chance of rain so Gemma could go to either.

14

Roy owns a restaurant and he is choosing a new company to provide all of his fruit and vegetables.

“Fresh Veg” say that 48 out of 50 of their deliveries are on time.

“Veg for you” say that 19 out of 20 of their deliveries are on time.

Which company should Roy choose?

“Veg for you” have a better chance of delivering on time. Roy should choose “Veg for you”.

“Fresh Veg” have a better chance of delivering on time. Roy should choose “Fresh Veg”.

They both have the same chance of delivering on time. Roy could choose either.