G12 MDM4U Exam 4. (K/U: 5 and T: 5 marks) A die is rolled twice. What...
A tetrahedron (four-sided die) is rolled twice and the sum X of k is the results of the two rolls is recorded. We know that the chance that X proportional to k. (a) What is the probability model for X, i.e., uhat values can X take, and what are the corresponding probabilities? (b) Compute the chance that the sum of the two rolls will erceed but ill not be more than b (c) Compute the erpected value of x.
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:
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.
Due in 22 hours, 22 A die is rolled twice. What is the probability of showing a 3 on the first roll and an even number on the second roll Your answer is: Points possible: 1 Preview This is attempt 1 of 4. Submit
G12 MDM4U Exam 3. (K/U: 8 marks and T: 8 marks) The following table of data represents the distribution of salaries (in thousands of dollars) in a small company Salary ($1000) 20 22 25 32 35 42 45 50 65 85 No. of employees1 48 10 6 5 2 21T (a) Convert the data into grouped data using five intervals. Show the frequency with the midpoint of each interval. (b) Draw the relative frequency histogram based on the grouped data...
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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
Question 3 Suppose an unfair die is to an unfair die is rolled. Let random variable X indicate the number that the die lands on when rolled taking on the following probability values T 1 2 X Pr(X=> 1 1 .05 1 05 2 .10 3 20 4 40 5 .15 6 .10 A) Find the probability of rolling a 2 or a 6. ilor si s lo sonensyon b el B) Find the probability of rolling a number greater...
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...
Problem 5. A lopsided six-sided die is rolled repeatedly, with each roll being independent. The probabil- ity of rolling the value i is Pi, i = 1, … ,6. Let Xn denote the number of distinct values that appear in n rolls. (a) Find E|X, and E21 (b) What is the probability that in the n rolls of the dice, for n 2 3, a 1, 2, and 3 are each rolled at least once?
In Yahtzee, 5 standard dice are rolled up to three times on a given turn. A player can choose to save anywhere from 0 - 5 of the dice between rolls 1 and 2 and between rolls 2 and 3, meaning that the player can set aside certain dice before rolling the remaining dice if they choose to do so. Suppose that a given player does not take advantage of saving die rolls and instead rolls all 5 dice each...