Conditional Probability
Conditional Probability - 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 ..
Conditional Probability - 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 ..Example:
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..
Suggested answer:
Let A be the event that one die shows up 4. Then the outcomes which are favourable to A are (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (1, 4), (2, 4), (3, 4), (5, 4), (6, 4) (a) Let B be the event of getting a 5 in one of the dies. Then the outcomes wh..
Let A be the event that one die shows up 4. Then the outcomes which are favourable to A are (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (1, 4), (2, 4), (3, 4), (5, 4), (6, 4) (a) Let B be the event of getting a 5 in one of the dies. Then the outcomes wh..Remark 7:
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..
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..Mutually Exclusive Events
B) is the event of the occurrence of both events A and B. If A and B happen to be mutually exclusive events, then P(A B) = 0. For example, in the experiment of tossing three coins, if A and B be the events of getting at least one..
B) is the event of the occurrence of both events A and B. If A and B happen to be mutually exclusive events, then P(A B) = 0. For example, in the experiment of tossing three coins, if A and B be the events of getting at least one..Suggested answer:
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 bal..
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 bal..The probability that A gets a fellowship is 0.3 and B gets fellowship ..
The probability that A gets a fellowship is 0.3 and B gets fellowship is 0.8. Find the probability that both A and B get fellowship. => 0.24 or 0.14 or 0h..
Jimmy tossed a coin 24 times and recorded the outcomes as shown in the..
Jimmy tossed a coin 24 times and recorded the outcomes as shown in the table. Outcome Number of Occurrences Head 9 Tail 15 What is the experimental probability of getting a head? => 3 8 or 4 5 or 7 8 or 11 10..
Section I Related to Reading Questions
Question 1 - Question: Are we raising techno tots? The conversation on swirling wine the right way, the perils in investment banking and the heated debate on what should be done with Salman Khan was certainly not to four-year-old Nikhil Reddy's liking. Boredom clouding his impish face, he nudges hi..
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