In a bag, there are 5 red balls, some green balls, and some blue balls. One ball is drawn at random. Which of the following statement(s) is/are sufficient to conclude that the probability of drawing a red ball is more than 0.4? Statement 1: The total number of balls in the bag is 15. Statement 2: The number of green balls is 4. Statement 3: The number of blue balls is 6.

A box contains 'x + 4' red, 'x – 1' green and 'x – 5' blue balls. If two balls are drawn from the bag one after another without replacement, then the probability of getting one red and one green ball is equal to the probability of getting a sum equal to or more than 8 when two fair dice are rolled. Find the probability of drawing a red ball when one ball is drawn at random from the bag.

Four persons are chosen at random from a group containing 3 men, 2 women, and 4 children. The probability that exactly two of them are children is: