If the squares of a 8×8 chessboard are painted either red or black at random.
The probability that the chessboard contains equal number of red and black squares is
The probability that certain electronic component fail, when first used is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99. What is the probability that a new component will last for one year?
A coin is tossed and a dice is rolled. Find the probability that the coin shows the head and the dice shows 6.
A rifleman is firing at a distance target and hence has only 10% chance of hitting it. Find the number of rounds; he must fire in order to have more than 50% chance of hitting it at least once.
Which of the following arguments are correct and which are not correct? Give reasons for your answer.(i) If two coins are tossed simultaneously there are three possible outcomes two heads, two tails or one of each. Therefore, for each of these outcomes the probability is 1/3(ii)if a die is thrown, there are two possible outcomes, an odd no. or an even no. Therefore ,the probability of getting an odd no. is 1/2.
In a lottery, a person choses six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of Winning the prize in the game. [Hint order of the numbers is not important.]
A com is tossed. If the outcome is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:A: the sum is greater than 8, B: 2 occurs on either dieC: the sum is at least 7 and a multiple of 3.Which pairs of these events are mutually exclusive?