A card is drawn from a pack of playing cards and a dice is thrown. Events A and B are as follows: 

A: 'Jack is drawn from the pack' & B: ‘ a one is thrown on the dice’.

1. Write down the values of P(A), P(B)
2. Write down the value of P(A and B).

A coin is tossed and a dice is thrown. Write down the probability of obtaining: 

1. a ‘head’ on the coin.
2. an odd number on the dice.
3. a 'head' on the coin and an odd number on the dice.

Box A contains 3 red balls and 3 white balls. Box B contains 1 red and 4 white balls. One ball is randomly selected from Box A and one from Box B. What is the probability that both balls selected are red?

In an experiment, a card is drawn from a pack of playing cards, and a dice is thrown. Find the probability of obtaining:

1. a card which is an ace and a six on the dice,
2. the king of clubs and an even number on the dice,
3. a heart and a 'one' on the dice.

A ball is selected at random from a bag containing 3 red balls, 4 black balls, and 5 green balls. The first ball is replaced and a second is selected. Find the probability of obtaining:

1. two red balls,
2. two green balls.

The letters of the word 'INDEPENDENT are written on individual cards and the cards are put into a box. A card is selected and then replaced and then a second card is selected. Find the probability of obtaining:

1. the letter 'P' twice,
2. the letter 'E' twice.

Philip and his sister toss a coin to decide who does the washing up. If it's heads Philip does it. If it's tails his sister does it, what is the probability that Philip does the washing up every day for a week (7 days)?

A card is drawn at random from a pack of 52 playing cards, the card is replaced and a second card is drawn. This card is replaced and a third is drawn. What is the probability of drawing:

1. three hearts?
2. at least two hearts?
3. exactly one heart?

There is a spinner that has six equal sectors: the equal sectors comprise words P, Q, R, S, T and U. Find the probability of getting:

1. 20 Qs in 20 trials
2. No Qs in n trials
3. At least one Q in n trials.

A cubical dice and a coin are thrown together at once, find the probability of getting ‘5’ on dice and ‘head’ on coin.