probability of getting two heads

Question: Three coins are tossed simultaneously 250 times with the following frequencies of different out comes. If these coins are tossed gain what is the probability of getting 2 heads? Answer: Let E denote the event of getting ..

If A and B are mutually exclusive events, then \ If A and B are mutually exclusive events, then A/B and B/A are impossible events. For an illustration, let us consider the random experiment of throwing two coins. \ S = {HH, HT, TH, TT} Let A = {HH, HT}, B = {HH, TH} and C = {HH..

Random Variable and Probability Distribution - If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No. of h..

If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No. of heads (x) : 2 1 1 0 x is called a random va..

Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information, that the event B has occurred..

A bag contains 5 white and 8 black balls, 2 balls are drawn at random. Find a) The probability of getting both the balls white, when the first ball drawn, is replaced. b) The probability of getting both the balls white, when the first ball is not r..

There can be several r.v's associated with an experiment. A random variable which can assume only a finite number of values or countably infinite values is called a discrete random variable. e.g., Consider a random experiment of tossing three coins simultaneously. Let X denote the number of h..

So far, we have assumed that the elementary events are equally likely and we have used the corresponding definition of probability. However the same definition of conditional probability can also be used when the elementary events are not equally likely. This will be clear from..

Events are said to be independent if the occurrence of one event does not affect the occurrence of others. Observe in case(a) of above example, The probability of getting a white ball in the second draw does not depend on the occurrence of the event on the first draw. However i..

a) The probability of drawing a white ball in the first draw is . Since the ball is replaced, the probability of getting white ball in the second draw is also . b) The probability of drawing a white ball in the first draw is . If the first ball drawn is..