Kurt is rolling two dice. One is blue in colour and the other is red in colour. [A]
a) What is the probability that he will roll a sum of 3 or 9? [1 mark]
b) What is the probability that he will roll a 4 on the blue die OR the red die? [2 marks]
c) What is the probability that he gets a sum of 9 or rolls a 4 on either die?
Kurt is rolling two dice. One is blue in colour and the other is red in...
3. Consider independently rolling two fair dice, one red and the other green. Let A be the event that the red die gets a 3, B be the event that the green die gets a 4, and C be the event that the total number showing on the two dice is 7. A. Are A and B independent? Explain. B. Are B and C independent? Explain.
You roll two dice, one is red and one is blue. a.) Are the outcomes independent? Why or why not? b.) Find P (2 on red die). c.) Find P (4 on blue die). d.) Find P (2 on red die and 4 on blue die) e.) Find P (3 on red die and 6 on blue die) f.) Find P (2 on red die and 4 on blue die) or (3 on red die and 6 on blue die).
Suppose you roll two dice. Assume one is red and one is blue so that they are distinguishable. Let A be the event "The sum of the two dice is 7." and B be the event "The red die is 4." and C be the event "The difference of the two dice is even." a.) Are A and B independent? Justify your answer. b.) Are B and C independent? Justify your answer. c.) Are A and C independent? Justify your...
Rolling Dice 2. A pair of dice is rolled. Here is the sample space (all of the possible outcomes) of rolling a pair of dice. First Die a) In how many different ways can we roll a 7 (as the sum of the two dice)? What is the probability of rolling a 7? 2 3 4 5 6 7 3 4 5 6 7 8 b) In how many ways can we roll a sum that is divisible by 3?...
Question 5: You are given a fair red die and a fair blue die, and roll both dice uniformly at random and independently of each other. Define the events A = “the sum of the results is at least 9”, B = “at least one of the two rolls results in a 2”, C = “at least one of the two rolls results in a 5”. • Determine Pr(A), Pr(B), and Pr(C). • Determine Pr(B | C). • Are the...
If a blue and a red dice are rolled, what is the probability of rolling a sum greater than 4?A. 30 / 36B. 33 / 36C. 3 / 36D. 6 / 36
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
If a blue and a red dice are rolled, what is the probability of rolling an odd number on the blue and an even number on the red? A. 6/36 B. 9/36 C. 18/36 D.36/36
1. Consider a six-faced die whose faces have respective colours red, red, red, blue, blue, green. (a) Describe the random variable (i.e. possible outcomes and probability distribution) of a fair die throw (i.e. one where each face ends up on top with equal likelihood). (b) What is the entropy of the random variable of part (a)? (c) Suppose two identical such dice are thrown simultaneously. What is the probability that i. both dice come up red? ii. the dice come...
probability a)You roll a dice with six sides. What is the probability of rolling a 3 or a 4? b)You roll one dice, twice. What is the probability of rolling an even number the first time and a 1 the second time? c) There are ten marbles in a bag, three yellow, three blue and four red. You draw one marble out of the bag. What is the probability that the marble is yellow or blue?