Two natural numbers x and y are chosen at random. What is the probability that x2+y2 is divisible by 5?
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 box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball?If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.
AandB are two candidates seeking admission in ITT. The probability that A is selected is 0.5 and the probability that AandB are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9?
A, B, C in order draws a card from a pack of cards, replacing them after each draw, on condition that the first who draws a spade shall win a prize : find their respective chances.
The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.
A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.