can you please help me with this ? thanks in advance
each item carefully, Write the letter of the correct answer on the blank provided for. 1. Which of the following are mutually exclusive events when a card is chosen at random from a standard deck of 52 cards? A. Choosing a 9 or a diamond B. Choosing an ace or a red card C. Choosing a king or a queen D. All of the above is rolled? 2. Which of the following are mutually exclusive events when a fair dic A. Rolling a number less than 3 or a multiple of 3 B. Rolling a 2 or a prime number C. Rolling a factor of 4 or a number divisible by 2 D. Rolling an odd number or a factor of 3 3. All of the following events are not mutually exclusive events EXCEPT: A. Drawing a jack or a heart in a standard deck of cards B. Choosing a factor of 6 or a multiple of 4 from the numbers 1-10 C. Spinning a 1 or an odd number in a spinner with 4 equal sectors D. Rolling a composite number or an even number in a fair die 4. If PIA) - 0,25, and P(B) = 0.60, and P(An B) - 0:15 then, A. events A and B are mutually exclusive. B. PIA U B) = 0. 80 C. events A and B are not mutually exclusive D. P(A U B) cannot be determined 5. Hermic rolled a fair die. What is the probability that a 4 or a prime number will come out? A. B. C. D. 2 6. A spinner is divided into 8 equal parts. If it is spun once, find the probability of spinning a factor of 6 or a multiple of 3. B. C. D. 7. The numbers 1 - 25 are written on slips of paper, put in a box and mixed thoroughly. If a number is picked, what is the probability that the number is even or a multiple of 4? A. 18 B. 16 C. 12 D. 25 25 25 8. Given the universal set to be the numbers from 1 - 20 If A represents the set of even numbers while B represents the set of odd numbers. then what is the intersection of the two sets A. all odd numbers from f to 20 C mull set B. all even numbers from 1 to 20 D. cannot be determined 9. A card is drawn from at standard deck of $2 cards. What is the probability of drawing a 3 or a face cardi A. B. C. TO 10. A bag contains 8 black penis, 7 red pens and 5 blue pens, Kyra draws one pen at random. What is the probability that the pen is either red or blue? A. B. C. 12 20 D 1 1. The numbers 1 to 40 are written on a cord and placed in a bag. if one card is drawn at random, what is the probability that the number is divisible by 4 or a multiple of a? A. B. D. 12. One tile with each letter of the English alphabet is placed in a bag. and one is drawn at random. What is the probability of selecting a vowel or a letter from the word humble? A. 26 B. D. A For items 13 - 14. The probabilities of three employees Lara, Mary and Joseph to be promoted is , - and -. respectively. Assume that only one employee will be promoted. 13. What is the probability that either Lara or Joseph will be promoted" A. 29 B. 31 19 35 40 C. D. 56 14. What is the probability that neither Lara nor Mary will be promoted? A 31 B. 16 40 35 C. 2 D. 5 15. There are 9 class officers composed of 5 males and 4 females. A group of 3 officers is to be selected at random to represent their class. what is the probability that the group will have at least 2 males? A. 17 B. 25 42 C. 21 D
