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Level 3 Probability Recap Flashcards | StudBud
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Level 3 Probability Recap
Level 3 Probability Recap
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A revision quiz for NCEA Level 3 Probability
Flashcards
20 cards
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Practice quiz
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Questions
20
Answers
1
Three coins are flipped. What is the true probability of getting two tails and one head?
0.375
0.25
0.125
none of the above
2
A and B are mutually exclusive events. P(A) = 0.4. P(B) = 0.3. What is the P(A | B)?
0.12
0
1
0.4
3
Consider the following question...
50%
60%
none of the above
25%
4
If P(A|B) = P(A) then:
A and B are complementary events
A and B are dependent events
P(A)+P(B)=P(AnB)
A and B are independent events
5
A calculator is used to generate a random
integer
between 45 and 77. What is P(number > 75)
2/33
2/32 = 1/16
2/31
1/32
6
A coin is flipped three times in a row. Which sequence is the most likely to occur?
HTH
HTT
HHH
they are all are equally likely
7
A calculator is used to generate a random number between 1 and 10. What is P(number = 9)?
1/10
9/10
none of the above
0
8
If P(pass|study) = 0.9 and P(fail|don't study) = 0.6, which is an appropriate relative risk?
4/9
0.3
2.25
1.5
9
True or False?
False
True
10
The conditional probability formula is:
P(A|B)=P(AnB)/P(A)
P(B|A)=P(AnB)/P(B)
P(B|A)=(P(B)xP(A))/P(A)
P(A|B)=P(BnA)/P(B)
11
10 people. 4 play only sport, 3 only play an instrument. 2 play neither. Which is incorrect?
P(sport U instrument) = 8/10
P(sport and instrument) = 1/10
P(sport | instrument) = 1/4
P(sport) = 4/10
12
Below are the results of a 2-question survey. Which of the following is incorrect?
U and V are not statistically independent
P(V|U) = 42/70
Number of people in the survey is 150
P(V) = 42/150
13
Out of 30 people, 14 play sport and 11 play an instrument. If 6 play both, how many do neither?
11
this situation is not possible
1
0
14
What is a sensible amount to spend playing the following game?
$20
$40
$10
$30
15
If P(A)+P(B) =1, we say events A and B are:
mutually exclusive events
independent events
complementary events
events with probabilities that add to 1
16
True or False?
True
False
17
The character(s) that belong in the intersection of "small" and "green" are:
Gary Coleman
Yoda, Hulk and Kermit
Yoda and Kermit
Yoda
18
1000 people take a drug to lower their cholesterol. The drug reduces the risk of death by 22%.
This means 220 less people are expected to die
This means the drug prevents 22 people from dying
If 41 are expected to die, this will decrease to about 9
If 41 are expected to die, this will decrease by about 9
19
If P(AnB) = 0, we say events A and B are:
independent events
mutually independent events
complementary events
mutually exclusive events
20
P(play sport) = 0.6, P(play music) = 0.3, P(play neither) = 0.2. What percentage play both?
0.1
0
the question is not possible
10
