In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory's total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?

8 coins are tossed simultaneously. The probability of getting at least 6 heads is

Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from each group. The probability that the three selected consist of 1 girl and 2 boys is

If probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct?

1. P($$\overline A $$) + P($$\overline B $$) = 2 $$-$$ 2p $$-$$ q

2. P($$\overline A $$ $$\cap$$ $$\overline B $$) = 1 $$-$$ p $$-$$ q

Select the correct answer using the code given below.