Please can you show me how to do these problems in simple terms, i am struggling with them

A club is choosing 2 members to serve on a committee. The club has nominated 4 women and 2 men. Based on chance alone, what is the probability no women are chosen to be on the committee?

A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?

In the last round of a chess tournament the final match is between Alice and Diego. The winner is the first player to win three games [sometimes called "best of 5"]. Assume that they are equally matched, so that each player has an equal probability of winning each game. What is the probability that the match will be finishedafter the first 3 games are played?

A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment?

A person in a casino decides to play 3 games of blackjack. Let W denote a win and L denote a loss. Define the event A as "the person wins at least one game of blackjack." What are the possible outcomes for this event?

A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 2 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee?