Due in 22 hours, 22 A die is rolled twice. What is the probability of showing...
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A die is rolled twice. What is the probability that a(n) 3 is rolled on the first roll and an even number on the second roll? The probability of rolling a(n) 3 on the first roll and an even number on the second roll is . Preview Get help: Video
If a standard six-sided die is rolled twice, what is the probability that the result of the second roll is not less than the result of the first roll?Express your answer as a common fraction.
A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 4 the second time. Find the probability of roing an even number the first time and a number greater than 4 the second time. (Type an integer or a simplified fraction.)
A 6-sided die rolled twice. Let E E be the event "the first roll is a 2" and F F the event "the second roll is a 2". (a) Are the events E and F independent? Yes or No: (b) Find the probability of showing a 2 on both rolls. Write your answer as a reduced fraction.
A 6-sided die rolled twice. Let E be the event "the first roll is a 5" and F F the event "the second roll is a 5". (a) Are the events E E and F F independent? Input Yes or No: (b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction. Answer:
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If you roll a die, find the probability that you: (Enter your answers in exact form or round to 3 decimal places.) (a) roll at least 4 or an odd number, Answer: Preview (b) roll an even number or a number at most 5. Answer: Preview Get help: Video
2. Assume two fair dice are rolled. Let X be the number showing on the first die and number showing on the second die. (a) Construct the matrix showing the joint probability mass function of the pair X,Y. (b) The pairs inside the matrix corresponding to a fixed value of X - Y form a straight line of entries inside the matrix. Draw those lines and use them to construct the probability mass function of the random variable X-Y- make...
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(3) A fair die is rolled twice, independently. (a) Consider the events: A = "the first number that show up is a 6"| B = "the sum of the two numbers obtained is equal to 7" C=" the sum of the two numbers obtained is equal to 7 or 11“ (i) Calculate P(BIC) (ii) Calculate P(A|B) (iii) Are A and B independent events? (b) Considering rolling two dice. Knowing that an even number...
Two strange dice (Die A and Die B) are rolled and their numbers showing are to be added together. Die A and one side that is a 1, while the other sides are 3’s. Die B has four sides that are 2’s and two sides that are 6’s. Complete this table showing the sample space for this event. + 1 3 3 3 3 3 2 2 2 2 6 6 P(sum of 5) = Using the same strange dice...
6. A fair six sided die is rolled three times. Find the probability that () all three rolls are either 5 or 6 (6) all three rolls are even (c) no rolls are 5 (d) at least one roll is 5 (e) the first roll is 3, the second roll is 5 and the third roll is even