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Probability: Quiz 9
Probability: Quiz 9
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1) 50 students sat a maths test. 24 of these students are male. 43 students passed the test and 25 of the students that passed were female.
a) Fill in the frequency tree.
1) 50 students sat a maths test. 24 of these students are male. 43 students passed the test and 25 of the students that passed were female.
a) Fill in the frequency tree.
We randomly select an individual. Find the probability that:
b) The individual is a male that has failed the test
c) The individual is a female that has passed the test
d) The individual is a male that has passed the test
e) The individual is female
The following questions conditional probability.
f) Given that an individual is male, find the probability that the individual passes the test
g) Given that an individual is female, find the probability that she fails the test
h) Given that an individual fails the test, find the probability that they are female
2) A PE class contains 60 individuals. They are able to choose whether they play football or badminton during PE. 35 members of the class are female. 24 individuals in total chose to play football. 7 boys chose to play badminton.
a) Complete the frequency tree below.
b) The individual is a male that has failed the test
c) The individual is a female that has passed the test
d) The individual is a male that has passed the test
e) The individual is female
The following questions conditional probability.
f) Given that an individual is male, find the probability that the individual passes the test
g) Given that an individual is female, find the probability that she fails the test
h) Given that an individual fails the test, find the probability that they are female
2) A PE class contains 60 individuals. They are able to choose whether they play football or badminton during PE. 35 members of the class are female. 24 individuals in total chose to play football. 7 boys chose to play badminton.
a) Complete the frequency tree below.
We randomly select an individual. Find the probability that:
b) The individual is a male that chooses to play football
c) The individual is a female that chooses to play football
d) The individual is a male that chooses to play badminton
e) The individual is a male
f) The individual plays badminton
g) The individual plays football
h) Given that an individual is male, find the probability that they chose to play football
i) Given that an individual chooses to play football, find the probability that they are male
j) Given that an individual is female, find the probability that they choose to play badminton
k) Given that an individual chooses to play badminton, find the probability that they are female
3) I ask 25 individuals if they play a musical instrument. I then ask them who their favourite artist is out of Bastille, Charlie Puth and Lady Gaga. 18 individuals played an instrument. Out of these 18 individuals who played an instrument, 5 said that their favourite of the three artists was Bastille. In total, 8 people like bastille. Out of the 25 people that were asked, 9 said that their favourite was lady Gaga. 1 of these 9 people did not play an instrument.
a) Complete the frequency diagram below.
b) The individual is a male that chooses to play football
c) The individual is a female that chooses to play football
d) The individual is a male that chooses to play badminton
e) The individual is a male
f) The individual plays badminton
g) The individual plays football
h) Given that an individual is male, find the probability that they chose to play football
i) Given that an individual chooses to play football, find the probability that they are male
j) Given that an individual is female, find the probability that they choose to play badminton
k) Given that an individual chooses to play badminton, find the probability that they are female
3) I ask 25 individuals if they play a musical instrument. I then ask them who their favourite artist is out of Bastille, Charlie Puth and Lady Gaga. 18 individuals played an instrument. Out of these 18 individuals who played an instrument, 5 said that their favourite of the three artists was Bastille. In total, 8 people like bastille. Out of the 25 people that were asked, 9 said that their favourite was lady Gaga. 1 of these 9 people did not play an instrument.
a) Complete the frequency diagram below.
We randomly select an individual. Find the probability that:
b) The individual does not play an instrument
c) The individual’s favourite artist is Charlie Puth
d) The individual does not play an instrument and their favourite artist is Lady Gaga
e) The individual’s favourite artist is Bastille
f) The individual does not play an instrument and their favourite artist is Charlie Puth
g) Given that an individual plays an instrument, find the probability that their favourite artist is Bastille
h) Given that an individual does not play an instrument, find the probability that their favourite artist is Lady Gaga
i) Given that an individual’s favourite artist is Charlie Puth, find the probability that they play an instrument
j) Given that an individual’s favourite artist is Bastille, find the probability that they do not play an instrument
b) The individual does not play an instrument
c) The individual’s favourite artist is Charlie Puth
d) The individual does not play an instrument and their favourite artist is Lady Gaga
e) The individual’s favourite artist is Bastille
f) The individual does not play an instrument and their favourite artist is Charlie Puth
g) Given that an individual plays an instrument, find the probability that their favourite artist is Bastille
h) Given that an individual does not play an instrument, find the probability that their favourite artist is Lady Gaga
i) Given that an individual’s favourite artist is Charlie Puth, find the probability that they play an instrument
j) Given that an individual’s favourite artist is Bastille, find the probability that they do not play an instrument