Expected outcomes
The Maths Habit
A spinner lands on green 18 times in 60 spins. Find the relative frequency of green.
0.3A coin is thrown 80 times and lands on tails 36 times. Find the relative frequency of heads.
0.55A drawing pin lands point up 27 times in 50 drops. Estimate how many times it lands point up in 200 drops.
108
A fair dice is rolled 60 times.
Will it land on six exactly 10 times?
Not always: 10 is what we expect, the real count can be more or less
Work out
12 of 40
2015 of 60
120.1 × 70
70.3 × 200
60
The probability of rolling a six is 16. A dice is rolled 60 times. How many sixes would you expect?
| Out of | Expect |
|---|---|
| 6 | 1 |
| 60 | 10 |
The probability of rain is 25. How many rainy days would you expect in 30 days?
| Out of | Expect |
|---|---|
| 5 | 2 |
| 30 | 12 |
The probability of rolling a six is 16. A dice is rolled 60 times. How many sixes would you expect?
| Out of | Expect |
|---|---|
| 6 | 1 |
| 60 | 10 |
The probability a bulb is faulty is 0.05. How many faulty bulbs would you expect in 400?
The probability of rolling a six is 16. A dice is rolled 60 times. How many sixes would you expect?
| Out of | Expect |
|---|---|
| 6 | 1 |
| 60 | 10 |
The probability a goalkeeper saves a penalty is 0.3. How many saves would you expect from 70 penalties?
The probability of rolling a six is 16. A dice is rolled 60 times. How many sixes would you expect?
| Out of | Expect |
|---|---|
| 6 | 1 |
| 60 | 10 |
The probability of taking a red counter from a bag is 38. A counter is taken and put back 200 times. How many reds would you expect?
The probability of rolling a six is 16. A dice is rolled 60 times. How many sixes would you expect?
| Out of | Expect |
|---|---|
| 6 | 1 |
| 60 | 10 |
A fair coin is thrown 90 times. How many heads would you expect?
Answer sheet
A game costs 50p to play. The probability of winning £2 is 15. It is played 100 times. How much profit would the stall expect?
£10The probability a bus is late is 0.15. How many buses would you expect to see before 30 have been late?
200
The probability that a seed grows is 35. If 40 seeds are planted, how many would you expect to grow?
24The probability that a parcel arrives late is 0.15. How many late parcels would you expect out of 300?
45A fair dice is rolled 90 times. Rhea says she expects 6 sixes. Is she right? Explain.
No: 90 ÷ 6 = 15