Probability
Complementary events
Probability from statistics
Combinatorics
Extra hard
100
How big is the probability of hitting with a six-sided dice
a) and 4: a
b) higher than a 3rd
c) an even number
a) 1/6
b) 1/2
c) 1/2
100
What is the probability of the complementary event to an event occurring with a probability of 22%?
78%
100
The table shows the proportion (in percent) of the population who read books in their spare time.
What is the probability that
a) a man does not read any books at all
b) a man reads every week
c) a woman reads less than every week
a) 33,7%
b) 28,6%
c) 54,7%
100
A port code consists of three digits between 0 and 9.
How many different codes are there?
1 000 different codes.
100
Handbollslaget har fått sin målvakt skadad. Johanna, Emma och Tova anmäler sig som reserver. Inför varje match lottar tränaren vem som ska stå.
Hur stor är sannolikheten att
a) Emma kommer att vara målvakt i de tre återstående matcherna
b) Johanna är målvakt i en match och Tova i två
a) 1/3 x 1/3 x 1/3 = 1/27
b) 3/27 = 1/9
200
Write the probability in percentage form.
1 of 8
12,5%
200
You roll a six-sided dice.
a) What is the probability of the complement event to hit a 5th?
b) What is the probability of the complement event not to hit a 5th?
a) 5/6
b) 1/6
200
In a bag of cars there are 20 green cars, 15 white and 15 red cars.
Make a table and calculate the relative frequency.
In a bag of cars there are 20 green cars, 15 white and 15 red cars.
a) What is the chance of taking a green car when you take without looking?
b) What is the chance of taking a red car when you take without looking?
a) The chance is 40% to take a green car.
b)
The chance is 30% to take a red car.
200
How many double-digit numbers can be formed with the numbers 1 and 2?
4 double-digit numbers.
200
A branch of mathematics that deals with how different choices are combined eg. how many different sequences there are of a certain number.
What is it describing?
Combinatorics
300
You take two bullets out of the jar without reloading.
What is the probability that you take first a red and then a white?
P (red, white) =1/6 x 3/5
300
How large is the probability of the complementary event to an event that occurs with the probability 1/3?
2/3
300
The diagrams show the population's education (25-64 years).
Which of the statements or statements is true?
In total, women have a higher education than men.
There is a larger proportion of men than women who have pre-secondary education.
In a group of 1,000 men, there will be about 10 people with postgraduate education.
In a group of 1,000 women, there will be at least 400 people with post-secondary education.
All of them are correct.
300
You will have a three-course dinner at a restaurant. You can choose between two starters, five main courses and three desserts.
How many different menu choices do you have?
30 different menu options.
300
Paul har 5 olika nagellack. En dag får han för sig att slumpmässigt måla sina naglar. Han drar en färg, målar nageln och lägger tillbaka nagellacket.
Hur stor är sannolikheten att på en hand
a) alla naglarna får samma färg
b) att minst två naglar får samma färg
a) Sannolikheten är 0,16 %.
b) Sannolikheten är 96,16 %.
400
(Enter your answer as follows: 1/2)
In a bowl of chocolate eggs is 112 yellow, 16 red, 13 purple, 14 blue and 16 green.
a) What is the probability of retrieving three red eggs?
b) What is the probability of retrieving two yellow eggs?
a) 1/216
b) 1/144
400
A seed has a germination of 85%.
a) What is the probability that two seeds germinate if you sow two seeds? Round to the full percentage.
b) What is the probability that nothing grows if you sow four seeds? Round to one hundred percent.
a) 72%
b) 0,05%
400
When rolling two six-sided dice, there are 36 possible outcomes.
(Round the answer to one tenth percent.)
a) What is the probability of getting the sum 2 or 12?
b) What is the probability of getting the sum 7?
c) What is the probability of getting the sum 6 or more?
d) What is the probability of getting different values on the two dice?
a) 5,6%
b) 16,7%
c) 72,2%
d) 83,3%
400
Isak has seven different sweaters, six different trousers, three pairs of shoes and three jackets.
a) In how many different ways can he combine, if he chooses one of each item of clothing?
b) How many more ways can he combine if he buys two more sweaters and a pair of trousers?
a) 378 different ways.
b) 189 more ways.
400
Diagrammet visar de fem populäraste motions- och tävlingsaktiviteterna bland ungdomar.
Tabellen visar antalet av respektive åldersgrupp.
a) Vad är sannolikheten för att en slumpvis utvald 13-18-åring styrketränar?
b) Hur många i ålderskategorin 19-25 år håller på med löpning?
c) Vad är sannolikheten för att en slumpvis utvald 6-12-åring simmar?
d) Hur stor andel av 6-12-åringarna spelar fotboll?
a) 15,4 %.
b) Ca 360 000 st enligt avläsning i diagram.
c) 20 %.
d) 28,3 %.
500
The probability that all the vowels of the word EAMCET come together, when the letters are arranged at random is
1/5
500
En fotbollsspelare sätter 80 % av sina straffar. I en match lägger hon två straffar.
Hur stor är risken att hon missar minst en?
P = 1 − 0,82 = 1 − 0,64 = 0,36 =
36 %
500
The diagram shows the six most popular girl names in 2013. About 55,000 girls were born that year.
a) What is the probability that a girl is not named by any of the names? Round to the full percentage.
b) In 2014, it was just as likely that a girl's name would be Alice as in 2013. About 114,000 children were born and about 56,000 of them were girls. How many were probably named Alice? Round off to the nearest whole number.
a) The probability is 92% that the girl's name is something else.
b)
It is likely 919 st named Alice.
500
melda Marcos was a former first lady of the Philippines. She is known for her large collection of clothes and shoes. Among other things, there must have been 1,000 pairs of shoes, 500 skirts and 1,000 bags in her wardrobe.
a) In how many different ways could she combine the three things from her wardrobe?
b) How many years would it take her at least to wear her combinations if she was only allowed to wear one combination per day? Expect 365 days in a year.
a) 500 000 000 different ways.
b) 1 369 863 år
500
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