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Two fair dice are tossed. One die is red and
one die is green.
Calculate the probability that the sum of the numbers on
the two dice is an odd number
given that the number that shows on the red die is
larger than the number that shows
on
the green die.
Please show ALL work for my understanding and upvote. THANK YOU!! Two fair dice are tossed....
Two fair dice are tossed and the up face on each die is recorded. Find the probability of observing each of the following events: A:{the difference of the numbers is 1} B:{the sum of the numbers is equal to one} C:{the sum of the numbers is even} P(A)= P(B)= P(C)=
LINEAR ALGEBRA, please show all your work and clearly circle answer. thank you! 3, 4 3. Two fair dice are rolled, one red and one green, and the numbers on the top faces are noted. Let event E be "red number is 3 or 4 or 5" and event F be "sum is 10 or higher." Are E and F independent or dependent? 4. Bag 1 contains four red and five blue marbles, and Bag 2 contains two red and...
Two six-sided dice, one red and the other green, are repeatedly tossed. The result for each toss is determined as: 10×red number + green number. a) What is the outcome space for the experiment? b) Give specific examples of disjoint and independent events involving the two dice. c) For a given throw, what is the probability of getting an odd number?
Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events: E:{The sum of the numbers is even } F:{A6 on the blue die } Find the following probabilities:(a) P(E)=18 / 36(b) P(F)=4 / 36(c) P(E ∩ F)=Are events E and F independent?A. yesB. no
1. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 4, given that the green one is either 2 or 3. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 10, given that the dice have opposite parity.
Three six-sided fair dice are rolled. The six sides are numbered 1,2,3,4,5,6. Let A be the event that the first die shows an even number, let B be the event that the second die shows an even number, and let C be the event that the third die shows an even number. Express each of the following events in terms of the named events described above: 1) the event that all three dice show even numbers 2) the event that...
Three balanced dice are tossed. Find the probability of obtaining a nine, given: a. The sum is odd. b. The sum is less than or equal to nine. c. None of the dice are odd. d. At least one of the dice is odd. e. At least two of the dice are odd. f. All dice are odd. g. All dice are different. h. Two of the dice are the same. i. All dice are the same.
1.5 Three balanced dice are tossed. Find the probability of obtaining a nine, given: a. The sum is odd. b. The sum is less than or equal to nine. c. None of the dice are odd. d. At least one of the dice is odd. e. At least two of the dice are odd. f. All dice are odd. g. All dice are different. h. Two of the dice are the same. i. All dice are the same.
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...
2.6 Suppose two dice are tossed and the numbers on the upper faces are observed. Let S denote the set of all possible pairs that can be observed. [These pairs can be listed, for example, by letting (2, 3) denote that a 2 was observed on the first die and a 3 on the second.] a Define the following subsets of S: A: The number on the second die is even. B: The sum of the two numbers is even....