Question
There are some experiment in which the outcomes cannot be identified discretely. For example, an ellipse of eccentricity is inscribed in a circle and a point within the circle is chosen at random. Now, we want to find the probability that this point lies outside the ellipse. Then, the point must lie in the shaded region shown in Figure. Let the radius of the circle be a and length of minor axis of the ellipse be 2b. Given that
Then, the area of circle serves as sample space and area of the shaded region represents the area for favorable cases. Then, required probability is
Now, answer the following questions.
Two persons A and B agree to meet at a place between 5 and 6 pm. The first one to arrive waits for 20 min and then leave. If the time of their arrival be independant and at random, then the probability that A and B meet is
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Question 1
Four cards are drawn successively with replacement from a well shuffled deck of 52 cards. What is the probability that (i) all the four cards are spades ?(ii) only 2 cards are spades ?Question 2
Let be tow independent events. The probability that exactly one of them occurs is 11/25 and the probability if none of them occurring is 2/25. If deontes the probability of occurrence of the event then Question Text | There are some experiment in which the outcomes cannot be identified discretely. For example, an ellipse of eccentricity is inscribed in a circle and a point within the circle is chosen at random. Now, we want to find the probability that this point lies outside the ellipse. Then, the point must lie in the shaded region shown in Figure. Let the radius of the circle be a and length of minor axis of the ellipse be 2b. Given that Then, the area of circle serves as sample space and area of the shaded region represents the area for favorable cases. Then, required probability is Now, answer the following questions. Two persons A and B agree to meet at a place between 5 and 6 pm. The first one to arrive waits for 20 min and then leave. If the time of their arrival be independant and at random, then the probability that A and B meet is |