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Hi, can you please help me answer all the items here? Thank you so much. B. The learner will engage himself/herself in answering the Assessment

Hi, can you please help me answer all the items here? Thank you so much.

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B. The learner will engage himself/herself in answering the Assessment based on the concept in Probability of a Union of Two Events and Probability of (A U B). ASSESSMENT 1. Find the probability of the following. (If possible, reduce your answer to lowest term.) Answer 1. Three white marbles, one blue and two red marbles are place in a bag. What is the probability of picking a red marble? 2. If a letter is chosen at random from the word PERSEVERANCE, what is the probability that the letter chosen is E? 3. What is the probability of getting an 8 from a deck of 52 cards? 4. A red die and a blue die are tossed ance. a. What is the probability of getting seven in a single throw of two dice? b. What is the probability of getting an 11 in a single throw of two dice? II. Solve the following problems. 1. Thirty balls are numbered 1 to 30, placed in a box and mixed thoroughly. If a ball is picked at random, what is the probability that it is, a. 12 or 28? b. end in 4 or a number divisible by 3? c. odd or a number divisible by 5? d. even or number divisible by 3? e. a number divisible by 5 or a number divisible by 6? 2. In tossing two dice, let A be the event that the sum of the faces is greater than 10, B the event that the sum is less than 5, and C the event of having the same number on both faces. a. Find P(A) P(B) P(C) b. Find the probabilities of P(A U C) P(B UC) P(A U B) 3. One number is selected from the set of integers from 1 to 15, inclusive. What is the probability that the number is an odd number or is prime number? 4. Given a deck of 52 cards. Find the probability that is a. a red picture card b. a king card c, card drawn at random is either a king or a red picture card.B. The learner will engage himself/herself in answering the Assessment. ASSESSMENT Determine whether each of the following situation is mutually exclusive or not mutually exclusive events. Then find its probability. Write your answer on the blank provided. 1. Getting a head or a tail when tossing a coin 2. Selecting a letter A from the word PROBABILITY or a vowel 3. Getting a 6 or a number divisible by 3 when rolling a die 4. Getting a jack or an ace when picking a card from a standard deck 5. Selecting a blue or a red when picking a ball from a box that contains 10 blue balls and 15 red balls

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