Let A, B, C be three events such that P(A) = 0.3, P(B) = 0.4, P(C ) = 0.8, P(A∩B) = 0.08, P(A∩C) = 0.28, P(A∩B∩C)=0.09. If P(A∪B∪C)≥0.75, then show that 0.23≤P(B∩C)≤0.48.
A die is rolled thrice, find the probability of getting a larger number each time than the previous number.
In a bag, there are 6 balls of which 3 are white and 3 are black. They are drawn successively (i) without replacement. (ii) with replacement. What is the chance that the colors are alternate? It has been supposed that the number of balls drawn remains the same, i.e., six even with replacement.
Two dice are thrown. The events A, B and C are as follows:A : getting an even number on the first die.B : getting an odd number on the first die.C : getting the sum of the numbers on the dice 5.Describe the events(i) Aprime (ii) not B(
In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?
A fair coin is tossed n times. if the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value of n˙
A carton consists of 100 shirts of which 88 are good. 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that(i) it is acceptable to Jimmy?(ii) it is acceptable to Sujatha?