A picnic is arranged to be held on a particular day. The weather forecast says that there is 80% chance of rain on that day. If it rains, the probability of a good picnic is 0.3, and if it does not, the probability is 0.9. What is the probability that the picnic will be good ?

The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow ?

Two groups of students are arranging an picnic near a lake.The probability of the 1st group of getting the picnic spot is 0.6 and that of the second group is 0.4. If the 1st group get the spot, the probability of doing boating is 0.8 and that of 2nd group is 0.3 what is the probability of boating? Given that boating is done, find the probability that the 2nd group does the picnic.

In a city suppose 3% of the population is known to be affected by a particular disease. There is a test for the disease. Of there with the disease 98% test positive and of these without the disease 99.8% test positive. What would be the probability that an individual selected at random with a positive test result does not have the disease?

A JEE aspirant estimates that she will be successful with an 80% chance if she studies 10 hours per day, with 60% chance if she studies 7 hourse per day, and with a 40% chance if she studies 4 hours per day. She further believes that she will study 10 houers, 7 hours, and 4 hours per day with probabilities 0.1,0.2and 0.7, respectively. The chance she will be successful if she studies for 4hours is

A JEE aspirant estimates that she will be successful with an 80% chance if she studies 10 hours per day, with a 60% chance if she studies 7 hours per day and with 40% chance if she studies 4 hours per day. She further believes that she will study 10 hours, 7 hours and 4 hours per day with probabilities 0.1 , 0.2 and 0.7 respectively. The chance she will be successful is: A. 0.28 B. 0.38 C. 0.48 D. 0.58

A JEE aspirant estimates that she will be successful with an 80% chance if she studies 10 hours per day, with 60% chance if she studies 7 hourse per day, and with a 40% chance if she studies 4 hours per day. She further believes that she will study 10 houers, 7 hours, and 4 hours per day with probabilities 0.1,0.2and 0.7, respectively. The chance she will not be successful if she studies for 4hours is

Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant. P(X=x)={{:(0.1, "if "x =0),(kx, "if "x = 1 or 2 ),(k(5-x), "if " x=3 or 4),(0,"otherwise"):} (a) Find the value of k. (b) What is the probability that you study at least two hours ? Exactly two hours? At most two hours?

The probability that a bulb produced by a factory will fuse after 150 days if used is 0.05. what is the probability that out of 5 such bulbs none will fuse after 150 days of use? 1-(19/20)^5 b. (19/20)^5 c. (3/4)^5 d. 90(1/4)^5

A speaks truth in 60% cases and B speaks truth in 70% cases. The probability that they will say the same thing while describing a single event is (A) 2/19 (B) 3/29 (C) 17/19 (D) 0.54