True/False:
Out of 35 students participating in a debate 10 are boys. The probability that the winner is a girl is `5/7`

In a class of 25 students with roll numbers 1 to 25, a student is picked up at random to answer a question. Find the probability that the roll number of the Selected student is either a multiple of 5 or of 7.

True/False: The probability of losing a game is 0.7. The probability of winning the game is 0.3.

In a box containing 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs none is defective is :

A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has : all girls.

A committee of 4 students is selected at random from a group consisting 8 boys and 4 girls. Given that there is at least one girl in the committee, calculate the probability that there are exactly 2 girls in the committee.

There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. She writes the name of each student on a separate card, the cards being identical. Then she puts cards in a bag and stirs them thoroughly. She then draws one card from the bag. What is the probability that the name written on the card is the name of (i) a girl? (ii) a boy?