CONFIDENTAL QUESTION 3 [20 MARKS] Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. a) Explain, and give an example of each events, what is meant in probability by: i. Mutually exclusive events (2 marks) ii. Complementary event (2 marks) iii. Independent event and dependent event (4 marks) b) Figure I shows two boxes P and Q containing with cards labelled numbers and letters. A B 3 4 Box P Box Q Figure 1 "Two cards are picked at random, one card from box P and another from box Q. i. List the sample spaces. (3 marks) Hence, state the outcomes of the events and find the probability that the cards are: ii. Cards label with vowel A. (3 marks) iii. Labelled with odd number and labelled with a consonant. (3 marks) iv. Labelled with even number or labelled with a vowel