statistics

TOPIC 4: INTRODUCTION TO PROBABILITY 1. What is the probability that a card drawn at random from a deck of cards will be an ace? 2. What is the probability of rolling a die and getting either a 2 or a 3? 3. What is the probability that a card selected from a deck will be either a "10" or a Diamonds? 4. What is the probability that the total of two dice will be greater than 9 given that the first die is a 6? 5. Someone draws a card at random out of a deck, replaces it, and then draws another card at random. What is the probability that the first card is a "3" and the second card is a Diamond? 6. If someone draws a card at random from a deck and then, without replacing the first card, draws a second card, what is the probability that the ist card is an Ace and the second card is a 10? 7. How many ways can you arrange 12 books if you have space for 6 books in your bookcase? 8. How many different groups of 4 can be selected from 12 people? 9. The table below shows records of scores of 400 examinees at a college of higher education in South Africa: Score B.A BSC B.COM Below 50 90 30 60 Between 50 and 60 q 70 70 Above 60 10 30 n TOTAL 120 C 150 a. Find the missing values in the above table b. If an examinee is selected at random from this group, find: i. The probability that he is a commerce graduate. ii. The probability that he is a B.A or Above 60. ii. The probability that he is a B.COM or BSC. iv. The probability that he is a science graduate, given that his score is above 60. V. The probability that his score is below 50, given that he is B.A