Year 9 : Probability homework
NAME: ………………………………………
Target: ………………………………………
Qu / 1a / 1b, 2, 4 / 3 / 5, 6a, 6bMarks / 3 / 5 / 2 / 11
Score
1.80 Year 12 students each study one Science.
The table shows some information about these students.
Female / 18 / 47
Male / 19
Total / 21 / 33 / 80
(a)Complete the table.
(3)
One of these students is picked at random.
(b)Write down the probability that the student studies Physics.
……………….
(1)
(Total 4 marks)
2.A bag contains some beads which are red or green or blue or yellow.
The table shows the number of beads of each colour.
Colour / Red / Green / Blue / YellowNumber of beads / 3 / 2 / 5 / 2
Samire takes a bead at random from the bag.
Write down the probability that she takes a blue bead.
......
(Total 2 marks)
3.Four teams, City, Rovers, Town and United play a competition to win a cup. Only one team can win the cup.
The table below shows the probabilities of City or Rovers or Town winning the cup.
City / Rovers / Town / United0.38 / 0.27 / 0.15 / x
Work out the value of x.
......
(Total 2 marks)
4.Richard has a box of toy cars.
Each car is red or blue or white.
3 of the cars are red.
4 of the cars are blue.
2 of the cars are white.
Richard chooses one car at random from the box.
Write down the probability that Richard will choose a blue car.
……………………
(Total 2 marks)
5.A bag contains 6 red disks, 4 blue disks and 5 green disks.
A fair dice has 4 faces painted red and the other 2 faces painted blue.
Lisa takes a disk at random from the bag and records its colour.
Lisa then throws the dice twice and each time records the colour of the face it lands on.
Work out the probability that, of the three colours Lisa records, exactly two are the same.
………………………
(Total 5 marks)
6.In a game of chess, you can win, draw or lose.
Gary plays two games of chess against Mijan.
The probability that Gary will win any game against Mijan is 0.55
The probability that Gary will win draw game against Mijan is 0.3
(a)Work out the probability that Gary will win exactly one of the two games against Mijan.
......
(3)
In a game of chess, you score
1 point for a win
point for a draw,
0 points for a loss.
(b)Work out the probability that after two games, Gary’s total score will be the same as Mijan’s total score.
......
(3)
(Total 6 marks)