Describe what would need to happen in an experiment for an event to obtain a relative frequency of 1.
A coin was flipped 180 times with 82 heads recorded. Find the relative frequency of flipping heads with this coin.
A coin was flipped 100 times with 51 tails recorded. Find the experimental probability of flipping tails with this coin.
At a factory, 1000 computers were tested with 15 found to be faulty. Calculate the experimental probability that a computer at this factory will be faulty.
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.
16 dice were rolled and a three occurred 4 times.
Find the relative frequency of rolling a three.
Hence, predict how many times a three would occur if 64 dice are rolled.
An online clothing store sold 7703 items of clothing last year. 296 of those items were returned because the wrong item was delivered.
From the data collected, find the probability that the next customer will return their clothing because it was the wrong item. Give your answer as a percentage, rounded to two decimal places.
A survey of 5000 Australian homeowners found that 1136 of those homes were connected to the NBN (National Broadband Network).
From this data, find the probability that a randomly selected home will be connected. Give your answer as a percentage, rounded to two decimal places.
A dice is rolled 100 times and the results are recorded in the table:
Express the relative frequency of rolling a 3 as a percentage.
| Result | Frequency |
|---|---|
| 1 | 12 |
| 2 | 20 |
| 3 | 18 |
| 4 | 12 |
| 5 | 14 |
| 6 | 24 |
A die is rolled 100 times and the results are recorded in the table:
Express the relative frequency of rolling a 5 as:
A fraction
A decimal
A percentage
| Result | Frequency |
|---|---|
| 1 | 16 |
| 2 | 11 |
| 3 | 15 |
| 4 | 15 |
| 5 | 20 |
| 6 | 23 |
Two hundred customers of Hyperplane Travel were randomly selected and asked "In which country will your next holiday be?" and the results are recorded in the table:
Find the probability that the next customer will be travelling to Indonesia as:
A fraction
A percentage
| \text{Country} | \text{Frequency} |
|---|---|
| \text{New Zealand} | 94 |
| \text{Indonesia} | 42 |
| \text{USA} | 16 |
| \text{UK} | 10 |
| \text{Other} | 38 |
The following graph shows the four countries that university students applied to for exchange in the last month:
Calculate the relative frequency of the country with the fewest applications.
A die is rolled 60 times and the results are recorded in the table:
Calculate the relative frequency of rolling a 6.
Calculate the relative frequency of rolling a 3 or higher.
Calculate the relative frequency of rolling a 3 or lower.
| Number | Frequency |
|---|---|
| 1 | 8 |
| 2 | 10 |
| 3 | 8 |
| 4 | 10 |
| 5 | 10 |
| 6 | 14 |
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 |
Boxes of toothpicks are examined and the number of toothpicks in each box is recorded in the table attached:
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 |
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?
Calculate the relative frequency of a lamb meal being ordered.
| Meal | Frequency |
|---|---|
| \text{Chicken} | 25 |
| \text{Beef} | 41 |
| \text{Lamb} | 44 |
| \text{Vegetarian} | 46 |
A card is randomly selected and replaced from a normal deck of cards multiple times. The outcomes are shown in the given table:
Using these outcomes, 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 |
The table shows the outcomes after tossing 3 coins multiple times:
How many times was the experiment repeated?
Calculate the relative frequency of tossing:
3 tails.
At least 2 heads.
At least 1 tail.
Only 1 head.
Exactly 2 tails.
| \text{Outcome} | \text{Frequency} |
|---|---|
| \text{HHH} | 15 |
| \text{HHT} | 12 |
| \text{HTH} | 11 |
| \text{HTT} | 15 |
| \text{THH} | 14 |
| \text{THT} | 14 |
| \text{TTH} | 12 |
| \text{TTT} | 12 |
The table shows the results of rolling a die multiple times:
How many times was the die rolled?
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 |
The table shows the results of rolling a die multiple times:
Find the experimental probability of not rolling a number less than 3.
Find the relative frequency of not rolling a prime number.
Find the sum of the relative frequencies of rolling a 1, 2, 3, 4, 5 and 6.
Find the sum of the experimental probabilities of rolling an even number and of rolling an odd number.
| Outcome | Frequency |
|---|---|
| 1 | 16 |
| 2 | 16 |
| 3 | 19 |
| 4 | 13 |
| 5 | 12 |
| 6 | 12 |
The table shows the fighting style of each competitor in a mixed martial arts tournament fought last year:
Find the total number of competitors.
Find the experimental probability of a wrestler winning.
Find the experimental probability of a Taekwondo fighter not winning.
If 100 more competitors joined the competition, how many of them would you expect to use Karate as their fighting style?
| Event | Frequency |
|---|---|
| \text{Karate} | 40 |
| \text{Wrestling} | 54 |
| \text{Judo} | 47 |
| \text{Taekwondo} | 59 |
Each player draws as many domino as they like from a bag. A domino has two numbers from 1 to 6 on it as shown below. A high value domino occurs if the sum of its two numbers is greater or equal to 6. Otherwise it is a low value domino.
The table below shows how many dominoes each player has, and how many of them have a high value:
| Player | No. of dominoes drawn | No. of dominoes drawn that are high value |
|---|---|---|
| \text{Sam} | 5 | 5 |
| \text{Kristen} | 6 | 1 |
| \text{Aoife} | 7 | 6 |
| \text{Yan} | 5 | 4 |
A player wins by randomly selecting a low value domino from their drawn sample. Which player has the lowest chance of winning?