Ane the events E and F the event "the "sum, is even. independent ? Explain
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Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.4, P(B) = 0.4, and…
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- QI Consider the experiment of throwing rwe fair dice, Let A be the event that of sum of the dice is 8, B be the event that sum of the dice is 5, C be rhe event that the first die is 3, D be the event that sum of the dice is 4 and E be the event the second dice is 2. Are A&B, A&C, A&D, A&E. B&C, B&E, B&D, C&D, C&E and E&D independent or dependent?Roll two fair dice. Each die has six faces. • Let A be the event that either a 3 or 4 is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most 7. P(A) is 6 P(B) is 12 Find P(A B)Two six sided dice are rolled. Construct an area diagram to help answer the following questions. a. What is the probability that you roll a 4 on one die and at least a 3 on the other? b. What is the probability that you roll at least one 3? C. What is the probability that the sum of the two die is 7? d. What is the probability the sum is at least 4? e. What is the probability you don't roll a 1?
- Which answers describe mutually exclusive events? Select all that apply. showing tails and showing heads with one flip of a coin turning 16 years old and turning 17 years old on the same day drawing a king and a spade from a deck of playing cards watching television and eating dinner at night running and listening to musicTwo dice are thrown. Let E be the event that the sum of the dice is odd, let F be the event that at least one of the dice is bigger than 5, and let G be the event that the absolute value of the difference of the dice is smaller than equal to 2. Describe the events EnF, EUF, Fn G, EN Fº, and EnFn G.Defective components: A lot of 11 components contains 3 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find PA . (b) Find PB|A . (c) Find PA and B . (d) Are A and B independent? Explain.
- You roll two dice. Define the two events E sum of the dice is 8 F = you roll at least one five You are wondering if E and F are independent events. To analyze this question you find the following information: P(E)= P(F) = P (EandF) = Since P(E) P(F) (a fraction in lowest form) (a fraction in lowest form) (a fraction in lowest form) (dependent/independent). (is, is not) equal to P(EandF), you conclude that E and F are(n) beazote Example 8. A bag contains 3 red, 6 white and 7 blue balls what is the probability that two balls drawn are white and blue ? ubje pIMO COIU2 தயர்தளIf E and F are independent events, then _______. the probability of the union is zero P(E) = 1 - P(F) the probability of the intersection is zero the probability of the intersection is greater than zero P(E) = P(F)-P(E∪F)
