1.1Consider a random experiment consists of tossing 3 coins of valuesN$1, N$5 and N$10 and observing heads and tails.

a) Give the sample space. [4 MARKS] b)

What is the probability that coin N$1 fell on a head and the rest either on head or tail?

1.2Consider an example in which a coin is tossed three consecutive times. Draw a probability tree for this experiment. Clearly name your branches and insert your probabilities for each branch.

1.3 A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market research predicts that a positive test market results is 80% of successfully launched products and a positive market result for 30% of failed product launches. If a market test result comes back negative, what is the probability that the product will be successfully launched?

1.4 A radio producer cannot produce the full quota of turning knobs it needs, so it purchases 20% of its needs from other suppliers. The quality control manager has determined that 6% of the turning knobs produced in house are defective, and that 8% of the purchased turning knobs are defective. He finds the turning knob of a randomly selected radio to be defective. What is the probability that the tube was produced by the company?