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- 1. From a deck of 52 cards (Ace, 2, 3.......10, Jack, Queen, King; with each one having clubs or flower, spade, heart and diamond). When a card is drawn, what is the probability that the card is a(a) 7 (b) 7 of heart (c) heart (d) either 7 or heart 2. What is the probability of getting a 2 or a 5 when a dice is rolled?3. Referring to the important health practices advocated by the California study, suppose that in a senior college class of 500 students its is found that 210 smoke, 258 drink alcoholic beverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eat between meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52 engage in all three of these bad health practices. If a member of this sneer class is selected at random, find the probability that the studenta. smoke but does not drink alcoholic beverages;b. eats between meals and drinks alcoholic beverages but does not smoke; c. neither smokes nor eats between meals.Two fair six-sided dice are rolled. Let A = the event that the dice add to 6, and let C = the event that the dice show the same number. Find P(CIA) and P(C JA') P(CIA)= P(CIA) = (Simplify your answer.) (Simplify your answer)QI// 1- There are 6 different routes from Ibri to Sur and 5 different routes from Sur to Salalah. How many different routes are there from Ibri to Salalah? 2- Two fair dice are rolled. Find the event that the sum of two dice on the upper face is bigger than or equal to 10?
- Q.3 Dawn Corporation has 18 employees who hold managerial positions. Out of them, 3 are from Lahore, 6 from Karachi and 9 from Capital City. The company is planning to send group of 3 persons for professional training in China, find the probability that i. All are from Lahore. ii. Participation of each city is in training. ii. At least 1 from Islamabad.Activity: 1. Two dice are rolled. Let A be the event that the sum of the numbers up is 7, or B the event that both numbers up are 6. Find the probability of (A U B ). 2. If one card is drawn from an ordinary deck of cards, what is the probability that: a) it will be a heart or b) it will be an ace or a face card? club?Kindly answer it perfectly..s
- Consider the experiment of rolling two dice. Let A, B and C be 3 events defined by A = {First die results in a 1, 2 or 3} B = (Second die results in a 4, 5 or 6} C= {The sum of two faces is 7} Find: P(A U B) Choose.. + P(A n Bn C) Choose.. + P(A n B) Choose... + P(B | C) Choose.. +I want to confirm if my answers are correct and if not, how would I approach this problem?4 Suppose two dice are rolled together. What is the probability that the two numbers showing up are different? O 1/6 O 5/6 1/3 35/36
- Suppose you roll 2 six-sided dice and sum the faces that show. Let A bethe event that the sum is less than or equal to 5, B be the event that the sum is even,and C be the event that the sum is greater than or equal to 8. Compute P(B | A) andP(C | A).1. From a deck of 52 cards (Ace, 2, 3.......10, Jack, Queen, King; with each one havingclubs or flower, spade, heart and diamond). When a card is drawn, what is theprobability that the card is a(a) 7 (b) 7 of heart (c) heart (d) either 7 or heart2. What is the probability of getting a 2 or a 5 when a dice is rolled?3. Referring to the important health practices advocated by the California study, supposethat in a senior college class of 500 students its is found that 210 smoke, 258 drink alcoholicbeverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eatbetween meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52engage in all three of these bad health practices. If a member of this sneer class is selectedat random, find the probability that the studenta. smoke but does not drink alcoholic beverages;b. eats between meals and drinks alcoholic beverages but does not smoke;c. neither smokes nor eats between meals.30. In the faculty parking lot, – of the vehicles are cars and the rest are trucks. Four sevenths of the trucks have bumper 3 stickers on them, while only one fifth of the cars have bumper stickers. If a vehicle from this lot is chosen at random, what is the probability that it a) does not have a bumper sticker given it is a car? b) is a car without a bumper sticker? c) has a bumper sticker?
