Worksheet Chapter 13: Simple Probability

1. A letter is randomly chosen from the word 'PROBABILITY'. What is the probability of selecting a vowel?

2. True or False: As the number of experimental trials increases, the experimental probability gets further away from the theoretical probability.

3. Two fair coins are tossed simultaneously. (a) Write down the sample space S using set notation. (b) Find the probability of obtaining two tails. (c) Find the probability of obtaining at least one head.

4. Fill in the blank: The set of all possible outcomes of an experiment is called the ________ space.

5. A fair die is rolled. List the sample space S, and calculate the probability of getting an odd number.

6. A card is drawn from cards numbered 10 to 30 inclusive. Find the probability that the card drawn is: (a) A prime number. (b) A multiple of 5.

7. A box contains 8 red pens, 5 blue pens, and 7 black pens. A pen is drawn at random. (a) Find the probability of drawing a black pen. (b) Find the probability of NOT drawing a red pen.

8. A container holds 40 marbles of green and yellow colors. If the probability of choosing a yellow marble is 38, find: (a) The number of yellow marbles. (b) The number of green marbles.

9. A factory tests 500 light bulbs and finds that 15 of them are defective. (a) Calculate the experimental probability of choosing a defective light bulb. (b) In a production batch of 8,000 light bulbs, predict how many light bulbs are expected to be defective.

10. True or False: The sum of the probability of an event and the probability of its complement is always equal to 1.