Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. Input your answers in the fractional form (do not simplify). P (A) = 86/100

P (B) = 79/100

P (A') = 7/50

P (A U B) = 95/100

P (A' U B) = ?

P (A' U B) = 84/100

Step-by-step explanation:

We have, P (A) = 86/100

P (B) = 79/100

P (A') = 7/50

P (A U B) = 95/100

-: P (A intersection B) = P (A) + P (B) - P (A U B)

P (A intersection B) = 86/100 + 79/100 - 95/100

P (A intersection B) = (86+79-95) / 100 = (165-95) / 100

P (A intersection B) = 70/100

Now, P (A' U B) = P (A') + P (A intersection B)

P (A' U B) = 7/50+70/100

P (A' U B) = (7*2+70) / 100 = (14 + 70) / 100

P (A' U B) = 84/100