WorksheetsStatistics End of Week 10 Assessment
Total questions: 20
Worksheet time: 14mins
Rolling a prime number and rolling an even number on a normal six-sided die are
Mutually exclusive
Not mutually exclusive
Rolling an odd number and rolling an even number on a normal six-sided die are
Mutually exclusive
Not mutually exclusive
There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.
What is the probability of him not choosing a red rose?
2012
208
128
125
Leon throws a biased coin. The probability of getting tails is 0.4.
Work out the probability of getting heads.
0.4
0.6
0.8
0.2
There are only Pink, Yellow, Green and Blue counters in a bag. The table shows the probability of picking each colour.
What is the probability of picking a Yellow counter?
0.8
0.2
0.7
0.3
Given events such that P(A) = 0.18, P(B) = 0.77, and P(A or B) = 0.95. Are events A and B mutually exclusive or not?
Mutually Exclusive
Not Mutually Exclusive
Let’s denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L = the subject is left-handed. Compute the probability P (M AND R )
(write your answer as a decimal)
(a)
Let’s denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L = the subject is left-handed. Compute the probability P ( M OR R )
(write your answer as a decimal)
(a)
Let’s denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L = the subject is left-handed. Compute the probability P(R |M)
(write your answer as a decimal rounded to 4 places)
(a)
U and V are mutually exclusive events. P (U ) = 0.26; P(V ) = 0.37.
Find P(U AND V)
(a)
U and V are mutually exclusive events. P (U ) = 0.26; P(V ) = 0.37.
Find P (U OR V)
Write your answer as a decimal.
(a)
In a bag, there are six red marbles and four green marbles. The red marbles are marked with the numbers 1, 2, 3, 4, 5, and 6. The green marbles are marked with the numbers 1, 2, 3, and 4.
R = a red marble
G = a green marble
O = an odd-numbered marble
The sample space is S = {R1, R2, R3, R4, R5, R6, G1, G2, G3, G4}.
S has ten outcomes. What is P(G AND O)?
Write as a decimal
(a)
Let event C = taking an English class. Let event D = taking a speech class.
Suppose P(C ) = 0.75, P(D) = 0.3, P(C |D ) = 0.75 and P(C AND D ) = 0.225.
What is P(D |C )?
give your answer as a decimal.
(a)
Mark is deciding which route to take to work. His choices are I = the Interstate and F = Fifth Street.
P(I) = 0.44 and P(F) = 0.56
P(I AND F) = 0 because Mark will take only one route to work.
What is the probability of P(I OR F)?
(a)
Which of the following pairs of events are mutually exclusive?
Cards: Ace and Spades
Two Dice: Odd and Even
Sit down and stand up
Sit down and scratch your nose
There are 10 counters in a bag, 3 red and 7 blue.
I take one counter, then another without replacement.
Find the probability of the value marked w
7/10
3/10
6/9
2/9
There are 8 counters in a bag, 1 is red.
I take one counter, replace it, then take another.
What is the probability of taking counters of the same colour?
14/64
1/64
50/64
49/64
The probability of Kam Seng passing his Physics and Chemistry tests are 0.58 and 0.42 respectively.
Calculate the probability that
a) Kam Seng passes both tests.
0.2345
0.2436
0.2433
0.2536
According to an investigation, the probability of rainfall on Mountain X in May is 0.45.
Calculate the probability that Mountain X will have two consecutive rainy days in May.
0.90
0.55
0.3025
0.2025
