Statistics End of Week 10 Assessment

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?

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)