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Year 10 Probability Worksheet

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Year 10 Probability Worksheet

Answer every question. Give probabilities as fractions in their simplest form unless the question asks for a different format. Show your working where requested.

Probability Basics

1.A fair six-sided die is rolled once. What is the probability of rolling a 2?

2.An event is impossible. Which probability describes it?

0
0.25
0.5
1

3.A box contains 4 orange counters, 5 purple counters and 3 white counters. One counter is picked at random. What is the probability that it is purple?

5/12
5/7
1/3
7/12

4.A fair coin is tossed once. Which listed outcome has probability 0?

The coin lands heads
The coin lands tails
The coin lands heads and tails at once
The coin lands on its edge

5.Match each probability description to its value.

An impossible event
An event that is certain
An event with an even chance
An event that is unlikely but possible

Calculating Probabilities

6.A spinner has 10 equal sections: 4 red, 3 yellow, 2 blue and 1 green. Write the probability of landing on each colour. Give each fraction in its simplest form.

7.There are 40 people at a club. Of these, 14 travel by bus, 10 cycle and 16 walk. A person is chosen at random. Find the probability that they cycle, then express it as a percentage.

8.The probability that a parcel arrives late is 0.18. Find the probability that it does not arrive late, as a decimal and as a percentage.

9.Two fair six-sided dice are rolled. Calculate the probability that their scores add to 9. Show how many of the possible equally likely outcomes give a total of 9.

10.A board-game player has won 15 of 25 games. Use these results to estimate the probability that the player wins the next game. State whether your estimate is experimental or theoretical, and explain your choice.

Comparing and Placing Probabilities

11.Place each probability on the scale. Write A, B, C and D at the correct positions. A: getting an even number on a fair six-sided die; B: drawing a club from a standard 52-card deck; C: rolling a number greater than 6 on a fair six-sided die; D: drawing a red card from a standard 52-card deck.