A die is thrown 10 times. The probability of getting a three on any throw is 1/6. What is the probability that in the 10 throws, exactly 2 of them are the number three?
A die is thrown 10 times. The probability of getting a three on any throw is...
6. (15 pts) When a fair dice is thrown, the probability of getting an ace is p= 1/6. a) (4 pts) If a person throws this dice for four times, what is the probability that he will get no more than one ace? b) 6 pts) If he/she throws this dice for 300 times, what is the probability that he will get more than 55 aces? c) pts) If the dice is not fair, the probability of getting an ace...
A regular six-sided die is rolled 9 times. What is the probability of getting a 1 or 6 on exactly 7 of those rolls?
if a 6-sides die was rolled 3 times, what is the probability of getting a) three 5's b) no 5's c) at least one 5
A man throws a die. Then he tosses a coin as many times as the number of dots showing on the top of the die. What is the probability of getting exactly one head?
A die is rolled four times. Find the probability of getting 5 exactly two times.
7, A die is thrown twice. Find the probability that the first throw is more than 3 and the second throw is less than 5
9. A fair die is thrown 1200 times (independently). Consider the number of sixes thrown. a) Compute approximately the probability that at least 181 and at most 249 times the number 6 occurs. b) Show that the probability of having at least 151 and at most 249 times the number 6 thrown exceeds 93%.
An unbiased die is rolled 10 times. (a) What is the probability that exactly 4 threes will occur? (b) What is the probability that exactly 4 of any one number alone will occur? (c) What is the probability that two numbers occur exactly 4 times?
a) If a single six-sided die is rolled five times, what is the probability that a 6 is thrown exactly three times? b) A person receives an average of one e-mail message per half-hour interval. Assume that e-mails are received randomly in time, find the probabilities that in a particular hour 0,1,2,3,4,5 messages are received.
A fair die is rolled three times. We say that a match has occurred if the outcome of the first throw is 2, or the outcome of the second throw is 2, or the outcome of the third throw is 3. Find the probability of the event that a match occurs.