A fair die is rolled ten times and each time the face up is recorded. Calculate...
(MA-262 review) A fair six-sided die is rolled four times, and each result is recorded, in order. Determine (a) the probability that there are exactly two results (among the four) that are each a 3, and (b) the probability that the sum of the four results is 23. [Answers: 0.11574, 0.0030864.]
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
2. A fair red die and a fair blue die are rolled 2 times each. What is the probability of the product of numbers on the red die is less then the sum of numbers on the blue die?
2. A fair red die and a fair blue die are rolled 2 times each. What is the probability of the product of numbers on the red die is less then the sum of numbers on the blue die? -Ive already posted this question but the answer given didn't explain how to calculate the number of successful cases. I know the total possible cases is 6*6*6*6=1296, but how do you calculate the number of successful cases?
1) If a fair die is rolled 25 times, what is the probability that a 3 is obtained exactly 3 times? Round your answer to the nearest thousandth. Use 1/6 as 0.167 in your calculations. 2) If X has a geometric distribution with parameter p = 0.523, calculate p(X=8) Round your answer to the nearest thousandth. 3) The number of imperfections in an object has a Poisson distribution with a mean λ = 8.3. If the number of imperfections is...
A fair die is rolled seven times. Calculate the probability of obtaining exactly two 6s. (Round your answer to four decimal places.)
What is the probability that a fair six-sided die rolled five times comes up 6 exactly once?
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)=
A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of getting the given result. 22) Exactly four twos 23) More than three twos In a certain college, 33% of the physics majors belong to ethnic minorities. Find the probability of the event from a random sample of 10 students who are physics majorS. 24) Exactly 2 belong to an ethnic minority 25) Two or less belong to an ethnic minority.
Suppose a fair die numbered 1 to 5 is rolled 4 times. Complete parts (a) and (b) below. (a) Find the probability distribution for the number of times 3 is rolled. 0 1 2 3 4 P(x) (Round to four decimal places as needed.) (b) What is the expected number of times 3 is rolled? E(x)=(Round to four decimal places as needed.)