Probability Tes...

A contest consists of predicting the results (win, draw or defeat) of 10 football matches. The probability that one entry contains at least 5 correct answers is

A pack of cards is counted with face downwards. It is found that one card is missing. One card is drawn and is found to be red. The probability that the missing card is red, is

A point is selected at random from the interior of the circle. The probability that the point is closer to the centre than the boundary of the circle is

A man firing at a distant target has 10% chance of hitting the target in one shot. The number of times he must fire at the target to have about 50% chance of hitting the target is

All the spades are taken out from a pack of cards. From these cards, cards are drawn one by one without replacement till the ace of spade comes. The probability that the ace comes in the 4th draw is

A card is drawn from a pack. The card is replaced and the pack is reshuffled. If this is done six times, the probability that 2 hearts, 2 diamonds and 2 black cards are drawn is

Ten pairs of shoes are in a closet. Four shoes are selected at random. The probability that there will be at least one pair among the four shoes selected is

Numbers 1, 2, 3, …., 2n, n ∈ N are written down on 2n cards. One number is selected at random from these cards. If the probability of drawing a number ‘i’ is proportional to ‘i’, then the probability of drawing an odd number in one draw is