4)
and
5)
Sum | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Probability |
The probability of getting 7 and the sum of the faces is odd number is
The probability of getting odd number is
Required probability =
Problem 4. A fair coin is tossed consecutively 3 times. Find the conditional probability P(A |...
A fair coin is tossed 9 times.(A) What is the probability of tossing a tail on the 9th toss, given that the preceding 8 tosses were heads?(B) What is the probability of getting either 9 heads or 9 tails?(A) What is the probability of tossing a tail on the 9th toss, given that the preceding 8 tosses were heads?(B) What is the probability of getting either 9 heads or 9 tails?
A fair coin is tossed 6 times. A) What is the probability of tossing a tail on the 6th toss given the preceding 5 tosses were heads? B) What is the probability of getting either 6 heads or 6 tails?
Problem 10) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tril. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin X follows a binomial distribution with n =20, p=0.5. Answer the following questions (Question) Find PX-17).
A box contains five coins. For each coin there is a different probability that a head will be obtained when the coin is tossed. (Some of the coins are not fair coins!) Let pi denote the probability of a head when the i th coin is tossed (i = 1, . . . , 5), and suppose that p1 = 0, p2 =1/4, p3 =1/2, p4 =3/4, p5 =1. The experiment we are interested in consists in selecting at random...
a fair coin is tossed three times. A. give the sample space B. find the probability exactly two heads are tossed C. Find the probability all three tosses are heads given that the last toss is heads
(15 pts) A fair coin is tossed four times and the events A, B, and C are defined as follows: A (At least one head is observed B: At least two heads are observed C (The number of heads observed is odd Find the following probabilities: (a) P(BC) (b) P(BCnc)-
(15 pts) A fair coin is tossed four times and the events A, B, and C are defined as follows: A (At least one head is observed B: At least two heads are observed C (The number of heads observed is odd Find the following probabilities: (a) P(BC) (b) P(BCnc)-
question: A fair coin is tossed 3 times. Show that the events “at least one head & at least one tail” and “heads on the 2nd toss” are independent
25) A fair coin is tossed 3 times. Show that the events "at least one head & at least one tail" and "heads on the 2nd toss" are independent
QUESTION 8 Problem 8) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tail. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin. X follows a binomial distribution with n=20, p=0.5. Answer the following questions. (Question) Find the expected value of X, E(X). QUESTION 9...