# Comparing probabilities

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## Lesson details

### Key learning points

- In this lesson, we will compare the probabilities of different events to see which is most likely.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Cala rolls a biased dice 40 times. It comes up with a three 14 times. Calculate the relative frequency of rolling a three.

0.14

0.40

0.42

Q2.

Antoni throws a normal six-sided dice 120 times. How many times would you expect him to throw a 4?

30

4

40

Q3.

Binh throws a biased dice 200 times. The theoretical probability of it landing on a 2 is 0.6. How many times would you expect her to throw a 2?

12

20

35

Q4.

Xavier has a biased coin which has a 30% chance of landing on Heads. He flips the coin 300 times. How many times would you expect it to land on Tails?

0.7

30

90

Q5.

Yasmin has 200 daisy seeds to plant in her garden. The probability of a daisy growing is 0.8. How many daisies would you expect to grow?

0.8

40

80

### 5 Questions

Q1.

True or false: I am more likely to flip a coin and get "Heads" than I am to roll a six-sided dice and get a 4.

False

Q2.

True or false: I am more likely to flip a coin and get "Tails" than I am to roll a six-sided dice and get an even number.

True

Q3.

True or false: I am more likely to roll a 3 than a 5 on a six sided dice

True

Q4.

True or false: I am more likely to roll an even number than a prime number on an eight sided dice.

True

Q5.

True or false: I am more likely to roll a 4 on a six sided dice than on an 8 sided dice.

False