PROBABILITY – A THEORETICAL APPROACH PROBABILITY 15 Class 10th Mathematics (Practice Sheet) 1 If there are 30 raffle tickets and 500 total tickets sold, what is the theoretical probability of winning a prize? A. 0.06 B. 0.15 C. 0.60 D. 6.00 2 What is an elementary event in probability? A. An event with multiple possible outcomes B. An event based on theoretical probability C. An event with only one outcome in the sample space D. An event that is impossible to occur 3 Complementary events are: A. Events that are identical to each other B. Mutually exclusive and exhaustive C. Events that are equally likely D. Events that are unrelated 4 An impossible event has a probability of: A. 0 B. 0.5 C. 1 D. 2 5 What is the probability of an event and its complementary event adding up to? A. 0 B. 1 C. 2 D. It varies 6 If a bag contains 5 red and 7 blue balls, then what is the probability of picking up a red ball? 7 Find the probability of getting 3 on a fair die. 8 The letters of the word "MATHEMATICS" are placed in a bag. What is the probability of drawing the letter "T" from the bag? 9 If P(E) = 0.05, what is the probability of 'not E'? 10 Using the rule of complementary events prove that M and N are independent events if P(M ⋃ N) = 1 - P(M') P(N'). Page 1 Email: Phone No: Website:
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