Questions covered in Basic

Review the question prompts below before starting the timed test. Try each problem independently, then use the interactive test to record your answers and review the worked solutions.

1. If $P(E) = 0.05$, what is the probability of 'not E'?
2. A die is thrown. The probability of getting a prime number is
3. In a simultaneous throw of two coins, the probability of getting at least one head is
4. If A and B are mutually exclusive events, then $P(A \cap B)$ is
5. A card is drawn from a pack of 52 cards. The probability that it is a face card is
6. A coin is tossed three times. Write the sample space.
7. A bag contains 9 discs of which 4 are red, 3 are blue and 2 are yellow. A disc is drawn at random. Calculate the probability that it will be (i) red (ii) yellow.
8. Two dice are thrown. Find the probability that the sum of the numbers coming up on them is 9.
9. One card is drawn from a well shuffled deck of 52 cards. Calculate the probability that the card will be:
   (i) a diamond
   (ii) not an ace
   (iii) a black card
10. Given $P(A) = 3/5$ and $P(B) = 1/5$. Find $P(A \text{ or } B)$, if A and B are mutually exclusive events.
11. Three coins are tossed once. Find the probability of getting:
    (i) 3 heads
    (ii) 2 heads
    (iii) at least 2 heads
    (iv) at most 2 heads
    (v) no head
12. Case Study: A bag contains 5 Red, 6 White and 7 Black balls. One ball is drawn at random.
    (i) Find the probability that the ball drawn is Red or White.
    (ii) Find the probability that the ball drawn is not Black.
    (iii) Find the probability that the ball drawn is neither Red nor White.