Use this Statistics and Probability hub to move from grouped means and modal classes into probability language, rules, conditional probability and expected frequency.
Chetan owns a fruit shop.
In January, Chetan sold 560 kg of citrus fruit.
In February, Chetan sold 518 kg of citrus fruit.
The table below shows the weight of citrus fruit, berries and tropical fruit Chetan sold in March.
The table below gives information about the weight, in kg, of berries sold on each of the 30 days in April.
Chetan wants to buy 60 kg of apples for his shop from US traders or French traders.
US traders: 12 kg box of apples for $29.50, free delivery, buy 4 boxes and get a 5th box free.
French traders: 1.72 euros per kg of apples, total delivery cost of 22.80 euros, special offer of 15% off the cost of apples and delivery.
Exchange rate: euros.
Chetan is going to draw a pie chart for this information.
Calculate the size, in degrees, of the angle of the sector in the pie chart for the weight of berries sold in March.
Find the class interval that contains the median weight.
Calculate an estimate for the mean weight, in kg, of berries sold on each day in April.
Here are the weights, in kilograms, of 12 children.
Calculate
the median weight,
the mean weight.
One of these 12 children is chosen at random.
Find the probability that this child has a weight that is less than 28 kg.
Table 1 gives information about the probability that a biased red six-sided dice will land on each of the numbers 1,2,5,7,9,11.
Calvin rolls the red dice once.
Calculate the probability that the red dice lands on:
either the number 2 or the number 5
an odd number
a number less than 8
Pabel rolls the red dice twice.
Calculate the probability that the red dice lands on the numbers 2 and 5.
Tai rolls the red dice 80 times.
Calculate the expected number of times the red dice lands on a number less than 5.
A biased blue six-sided dice has faces numbered 2, 4, 6, 8, 10, 12.
The probability that the blue dice lands on the number 2 is 0.24.
The probability that the blue dice lands on the number 4 is 0.12.
In a game Tai rolls the red dice once and the blue dice once.
The number that the red dice lands on is added to the number that the blue dice lands on to give his score in the game.
Given that his score is less than 6, find the probability that the red dice lands on the number 2.
Chetan owns a fruit shop.
In January, Chetan sold 560 kg of citrus fruit.
In February, Chetan sold 518 kg of citrus fruit.
The table below shows the weight of citrus fruit, berries and tropical fruit Chetan sold in March.
The table below gives information about the weight, in kg, of berries sold on each of the 30 days in April.
Chetan wants to buy 60 kg of apples for his shop from US traders or French traders.
US traders: 12 kg box of apples for $29.50, free delivery, buy 4 boxes and get a 5th box free.
French traders: 1.72 euros per kg of apples, total delivery cost of 22.80 euros, special offer of 15% off the cost of apples and delivery.
Exchange rate: euros.
Chetan is going to draw a pie chart for this information.
Calculate the size, in degrees, of the angle of the sector in the pie chart for the weight of berries sold in March.
Chetan owns a fruit shop.
In January, Chetan sold 560 kg of citrus fruit.
In February, Chetan sold 518 kg of citrus fruit.
The table below shows the weight of citrus fruit, berries and tropical fruit Chetan sold in March.
The table below gives information about the weight, in kg, of berries sold on each of the 30 days in April.
Chetan wants to buy 60 kg of apples for his shop from US traders or French traders.
US traders: 12 kg box of apples for $29.50, free delivery, buy 4 boxes and get a 5th box free.
French traders: 1.72 euros per kg of apples, total delivery cost of 22.80 euros, special offer of 15% off the cost of apples and delivery.
Exchange rate: euros.
Calculate an estimate for the mean weight, in kg, of berries sold on each day in April.
Chetan owns a fruit shop.
In January, Chetan sold 560 kg of citrus fruit.
In February, Chetan sold 518 kg of citrus fruit.
The table below shows the weight of citrus fruit, berries and tropical fruit Chetan sold in March.
The table below gives information about the weight, in kg, of berries sold on each of the 30 days in April.
Chetan wants to buy 60 kg of apples for his shop from US traders or French traders.
US traders: 12 kg box of apples for $29.50, free delivery, buy 4 boxes and get a 5th box free.
French traders: 1.72 euros per kg of apples, total delivery cost of 22.80 euros, special offer of 15% off the cost of apples and delivery.
Exchange rate: euros.
Find the class interval that contains the median weight.
Here are the weights, in kilograms, of 12 children.
Calculate
One of these 12 children is chosen at random.
Find the probability that this child has a weight that is less than 28 kg.
To pass a course, Preety has to pass two tests, test A and test B.
Each test only has to be passed once.
Passing test A and passing test B are independent events.
Preety has three attempts to pass test A.
The probability that she passes test A on her first attempt is
If she fails on her first attempt, the probability that she passes on her second attempt is
If she fails on her second attempt, the probability that she passes on her third attempt is
Preety decides to take the two tests only if the probability that she passes the course is greater than 0.5.
State whether or not Preety should take the two tests.
Give a reason for your answer.
Ahmed and Hani play a game with 20 numbered balls.
The 20 balls are numbered from 1 to 20.
The balls are put in a bag.
Ahmed takes at random a ball from the bag, makes a note of its number and puts the ball back into the bag.
If the number is a multiple of 5, Ahmed wins.
If Ahmed does not win, Hani takes a ball, replaces it, and wins if the number is a multiple of 3.
If Hani does not win, Ahmed takes a ball, replaces it, and wins if the number is a multiple of 6.
If Ahmed does not win, Hani takes a ball, replaces it, and wins if the number is a multiple of 4.
If Hani does not win, the game stops and the result is a draw.
The incomplete probability tree diagram for the game is shown below.
Complete the probability tree diagram for Ahmed and Hani's game.
Determine which player, Ahmed or Hani, is more likely to win the game.
Give a reason for your answer.
Table 1 gives information about the probability that a biased red six-sided dice will land on each of the numbers 1,2,5,7,9,11.
A biased blue six-sided dice has faces numbered 2, 4, 6, 8, 10, 12.
The probability that the blue dice lands on the number 2 is 0.24.
The probability that the blue dice lands on the number 4 is 0.12.
In a game Tai rolls the red dice once and the blue dice once.
The number that the red dice lands on is added to the number that the blue dice lands on to give his score in the game.
Given that his score is less than 6, find the probability that the red dice lands on the number 2.
70 children were asked which flavours of ice cream they like from chocolate (C), vanilla (V) and strawberry (S).
5 children like chocolate and vanilla and strawberry.
15 like strawberry only.
12 like chocolate only.
8 like none of the flavours.
6 like strawberry and vanilla.
11 like chocolate and vanilla.
21 like strawberry.
35 like vanilla.
One of the 70 children is chosen at random.
Given that this child likes vanilla, find the probability that this child also likes chocolate.
Table 1 gives information about the probability that a biased red six-sided dice will land on each of the numbers 1,2,5,7,9,11.
Tai rolls the red dice 80 times.
Calculate the expected number of times the red dice lands on a number less than 5.