A web ad can be designed from four different colors, three font types, five sizes, three images, and five text phrases. A specific design is randomly generated by the web server when you visit the site. Let A denote the event that the design color is red and let B denote the event that the font size is not the smallest one. Use the addition rilues to calculate the following probabilities:
1. P(AuB)2. p(AuB')3. P(A'uB')

1.  P(AuB) = 0.85

2.  P(AuB') = 0.4

3.  P(A'uB') = 0.8

Step-by-step explanation:

Given that;

There are four different color.

P(A) i.e the event that the design color is red will be;

= 0.25

P(B)  i.e the event that the font size is not the smallest one, =

=0.8

1).

Using Addition Rule;

P(AuB)= P(A) + P(B) - P(AnB)

P(AnB) = P(A) × P(B)

= 0.25 × 0.8

= 0.2

∴

P(AuB)= 0.25 + 0.8 - 0.2

= 0.85

Thus, the probability that A union B [ P(AuB) ]  is 0.85.

2).

Using Addition Rule;

P(AuB') = P(A) + P(B') +  P(AnB')

Here, we are asked to look for the Probability of A union B compliment.

The probability value for complementary event (B) is,

As such; Since P(B) = 0.8

P(AnB') = P(A) × P(B')

P(AnB') = 0.25 × 0.2

P(AnB') =  0.05

∴

P(AuB') can now be calculated as;

= P(A) + P(B') -  P(AnB')

= 0.25 + 0.2 - 0.05

= 0.4

Thus, the probability of A union B complement [ P(AuB') ] = 0.4.

3).

P(A'uB') = P(AnB)'      (according to DeMorgan's Rule)

P(A'uB') = 1 - P(AnB)

From above P(AnB) = 0.2

∴

P(A'uB') = 1 - 0.2

P(A'uB') = 0.8

Thus, the probability of A complement union B complement [ P(A'uB') ] = 0.8

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.

answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.