At a factory, 1000 computers were tested with 15 found to be faulty. Calculate the experimental probability that a computer selected at random at this factory will be faulty.
James watched cars drive past his house over five minutes. In this time, 19 cars went by, and 7 of those cars were white. Find the experimental probability that the next car will be coloured white.
A coin was flipped 184 times with 93 heads recorded. Find the experimental probability of flipping heads with this coin.
A fair coin was flipped 100 times with 51 tails recorded. Find the experimental probability of flipping tails with this coin.
A coin was tossed 50 times. It landed on tails 4 times. Each toss was recorded. Out of these recorded tosses, find the probability of selecting one that landed on tails. Express your answer as a decimal.
After flipping a fair coin 70 times, the relative frequency of heads is found to be \dfrac{52}{70}.
Find the probability of the next flip being a tail.
If the experiment were to be repeated an infinite number of times, what fraction would you expect the relative frequency of heads to be?
A traffic light tester finds that every 60 seconds, a certain traffic light remains green for 21 seconds, yellow for 3 seconds and red for 36 seconds. Find the experimental probability of the following events:
Arriving at the traffic light when it is green.
Arriving at the traffic light when it is yellow.
Arriving at the traffic light when it is red.
An insurance company found that in the past year, of the 750 claims made, 375 of them were from drivers under the age of 25. According to this data, find the experimental probability of a claim being made by:
Someone under the age of 25.
Someone 25 years or over.
A die is rolled 100 times. The results are shown in the table:
Express the experimental probability that a 5 is rolled as a:
Fraction
Decimal
Percentage
If the die is rolled an infinite amount of times, express the probability that a 5 is rolled as a decimal, correct to two decimal places.
| Result | Frequency |
|---|---|
| 1 | 14 |
| 2 | 12 |
| 3 | 11 |
| 4 | 13 |
| 5 | 14 |
| 6 | 36 |
Calculate the absolute difference between the experimental and theoretical probability of rolling a 5.
A die is rolled 60 times and the results are recorded in the following table:
Find the experimental probability of:
Rolling a 6 with this die.
Rolling a 3 or higher with this die.
Rolling a 3 or lower with this die.
If the die is rolled an infinite amount of times, express the probability that a 3 or higher is rolled as a decimal, correct to two decimal places.
| Result | Frequency |
|---|---|
| 1 | 10 |
| 2 | 12 |
| 3 | 8 |
| 4 | 10 |
| 5 | 8 |
| 6 | 12 |
Calculate the absolute difference between the experimental and theoretical probability of rolling a 3 or higher.
A die is rolled 121 times with the results in the given table:
Find the experimental probability of:
Rolling a 5 with this die.
Rolling a 4 or higher with this die.
Rolling a 4 or lower with this die.
| Number | Frequency |
|---|---|
| 1 | 20 |
| 2 | 19 |
| 3 | 19 |
| 4 | 20 |
| 5 | 21 |
| 6 | 22 |
The table shows the results of rolling a die multiple times:
How many times was the die rolled?
Find the experimental probability of rolling a 2.
Find the relative frequency of not rolling a 3.
Find the experimental probability of rolling an even number.
| Outcome | Frequency |
|---|---|
| 1 | 13 |
| 2 | 12 |
| 3 | 20 |
| 4 | 14 |
| 5 | 15 |
| 6 | 16 |
To prepare for the week ahead, a restaurant keeps a record of the number of each main meal ordered throughout the previous week:
How many meals were ordered altogether?
What was the relative frequency of a lamb meal being ordered?
| Meal | Frequency |
|---|---|
| \text{Chicken} | 25 |
| \text{Beef} | 41 |
| \text{Lamb} | 44 |
| \text{Vegetarian} | 46 |
Boxes of toothpicks are examined and the number of toothpicks in each box is recorded in the table:
If the number of toothpicks of another box were counted, find the experimental probability it will have:
89 toothpicks.
More than 90 toothpicks.
Less than 90 toothpicks.
| Number of toothpicks | Number of boxes |
|---|---|
| 87 | 0 |
| 88 | 6 |
| 89 | 4 |
| 90 | 1 |
| 91 | 1 |
| 92 | 2 |
| 93 | 1 |
A card is randomly selected and replaced from a normal deck of cards multiple times. The outcomes are shown in the table:
Calculate the relative frequency of selecting:
A diamond.
A club.
A heart.
A spade.
A black card.
A red card.
| Suit drawn | Frequency |
|---|---|
| \text{Diamond} | 15 |
| \text{Club} | 15 |
| \text{Heart} | 10 |
| \text{Spade} | 11 |
| \text{Total} | 51 |
If the experiment was repeated an infinite amount of times, find the expected relative frequency of selecting:
A heart.
A black card.
The table shows the number of trains that arrived on time at a particular station from Monday to Friday:
What was the relative frequency of trains that were on time on Monday?
What was the greatest relative frequency of trains that were on time on any day of the week?
What was the relative frequency of trains that were on time over the entire week?
| Day | Number of trains | On time |
|---|---|---|
| \text{Monday} | 28 | 22 |
| \text{Tuesday} | 21 | 11 |
| \text{Wednesday} | 21 | 17 |
| \text{Thursday} | 23 | 10 |
| \text{Friday} | 23 | 10 |
Consider the graph showing the outcomes of a coin toss experiment:
How many times was the coin tossed?
Find the relative frequency of tossing a head.
The column graph shows the four countries that university students applied to for exchange in the last month:
What is the relative frequency of the country with the fewest applications?
If the monthly applications are the same throughout the year, how many people will apply for UK over the next 12 months?
The table shows the outcomes of tossing three coins multiple times:
How many times were the three coins tossed?
Find the experimental probability of tossing:
3 tails.
At least 2 heads.
At least 1 tail.
Only 1 head.
Exactly 2 tails.
| Outcome | Frequency |
|---|---|
| \text{HHH} | 11 |
| \text{HHT} | 12 |
| \text{HTH} | 11 |
| \text{HTT} | 16 |
| \text{THH} | 12 |
| \text{THT} | 15 |
| \text{TTH} | 10 |
| \text{TTT} | 15 |
The table below shows the number of times each policy holder made an insurance claim over a 1-year period:
How many claims were made altogether?
If one policy holder is chosen at random, find the probability that they made two claims.
| Number of claims made | 0 | 1 | 2 |
|---|---|---|---|
| Number of policy holders | 13 | 12 | 19 |
High school students attending an international conference were asked to register what language other than English they speak. The results are shown in the table:
How many students attended the conference?
Find the probability that a student chosen at random speaks:
French
Mandarin
Arabic or Spanish
Spanish or Other
| Language | Frequency |
|---|---|
| \text{French} | 20 |
| \text{Arabic} | 13 |
| \text{Spanish} | 21 |
| \text{Mandarin} | 19 |
| \text{Other} | 37 |