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?
2. A fair red die and a fair blue die are rolled 2 times each. What...
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?
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...
A fair die is rolled ten times and each time the face up is recorded. Calculate the probability that exactly four numbers greater than 4 have been recorded. (Answer must be rounded off to the nearest thousandth) What is the expected number of times a number less than 5 will be recorded? (Answer must be rounded off to the nearest thousandth)
Problem 8 A fair die is rolled 10 times. What is the probability that the rolled die will not show an even number?
1. A blue fair 6-sided dice and a red fair 6-sided dice are rolled at the same time. a) What is the probability of the sum of the dice equals 7, given 1 2 3 4 5 6 at least one of the dice shows a 3? 1 (1.1) (1.2) (1.3) (1.4) (1.5) (1.6) 2 (2.1) (2.2) (2.3) (2.4) (2.5) (2.6) (3.1) (3.2) (3.3) (3.4) (3.5) (3.6) (4.1) (4.2) (4.3) (4.4) (4.5) (4.6) 5 (5.1) (5.2) (5.3) (5.4) (5.5) (5.6)...
Suppose a fair die is rolled 1000 times. What is a rough approximation to the sum of the numbers showing, based on the law of large numbers?
A fair die is rolled 20 times, and the desirable outcomes are 2, 3, 5 or 6. Calculate the probability that the desirable even occurs five times?
A fair die is rolled 20 times, and the desirable outcomes are 2, 3, 5 or 6. Calculate the probability that the desirable even occurs five times?
#6-2 points A fair die is rolled 9 times. What is the expected sum of the 9 rolls? 42
You roll a pair of fair 6-sided dice: a red die and a blue die. (a) Consider event A: {the outcome of the red die is more than 3} and event B: {the outcome of the red die is less than 5}. Given that event A occurs, what is the probability that event B occurs? (b) Are A and B mutually exclusive (i.e., disjoint)? (c) Are A and B independent? (d) Calculate the probability of event C: {the outcome of...