- (a) If A and B are independent events with P(A) = 0.6 and P(B)= 0.7, find P (A or B).
(b) A randomly selected student takes Biology or Math withprobability 0.8, takes Biology and Math with probability 0.3, andtakes Biology with probability 0.5. Find the probability of takingMath.
- A box contains 4 blue, 6 red and 8 green chips.
- In how many different ways can you select 2 blue, 3 red and 5green chips? (Give the exact numerical value).
- Draw two chips in a row without replacement. Find theprobability that both chips are green.
- Based on the following table, compute the probabilitiesbelow:
| YES | NO | NO OPINION | totals |
MEN | 50 | 30 | 20 | 100 |
WOMEN | 120 | 40 | 40 | 200 |
totals | 170 | 70 | 60 | 300 |
P (Women and Yes) =
P (Men | Yes) =
P (No | Women) =
P (Men or No) =
Are Men and No Opinion mutually exclusive?
Are Men and No Opinion independent? Justify your answerby an appropriate computation.