Answer:
a. 3/4
b. 1/2
c. 5/6
Step-by-step explanation:
From the question, We are given that:
4 different colours, 3 different font types, 5 sizes, 3 images, 5 text phrases.
If event A is the event that the design color is red, then:
P(A) = 1/4
P(A') = 1 - 1/4 = 3/4.
If event B is the event that the font size is not the smallest one, then:
P(B) = 2/3
P(B')= 1 - 2/3 = 1/3.
P(AnB) = 1/4 * 2/3 = 2/12=1/6
P(AnB')=1/4 * 1/3 = 1/12
P(A'nB') = 3/4 * 1/3=1/4
Solving the questions,
a. P(AuB) = P(A) + P(B) - P(AnB)
P(AuB) =(1/4) + (2/3) -(1/6)
P(AuB) = 9/12
P(AuB) = 3/4
b. P(AuB') = P(A) + P(B') - P(AnB')
P(AuB') = 1/4 + 1/3 - 1/12
P(AuB') = 6/12
P(AuB') = 1/2
c. P(A'uB') = P(A') + P(B') - P(A'nB')
P(A'uB') = 3/4 + 1/3 - 1/4
P(A'uB') = 10/12
P(A'uB')=5/6
