This is related to probability in math. This is really simple but I'd like to ask if you can show your work on a piece of paper and/or online.

1. In a group of 8 Olympic track stars, five are hurdlers. If 3 are selected at random without replacement, find the probability that

A)They are all hurdlers

B) Two are hurdlers and one is not a hurdler

2. In a class of 15 men and 12 women, two different homework papers were selected at random. Find the probability that

A) The papers belonged to women

B) The papers were from a man and a woman

3.During a game of online hearts, three cards are dealt one at a time without replacement from a shuffled ordinary deck of cards. Find the probability of getting

A) All jacks

B) All clubs

C) All red cards

4. Three red cards are numbered 1, 2, and 3. Three black cards are numbered 4, 5, and 6. The cards are placed in a box and one card is picked at random. Find the probability that

A) A number less than 5 was picked given that the number on the card was a black card.

B) A number less than 5 was picked given that the number on the card was a red card.

C) A red card was picked given that the number on the card was an odd number

5.