Given a spinner as shown in the illustration below, two fair six sided dice and a standard deck of 52 playing cards, calculate the probability of each compound event below.
- Spin a 4 and roll doubles.
- Spin an odd number and roll an odd sum.
- Draw four red cards in a row without replacement.
- Draw three face cards (jack, queen, king) without replacement.
- Rolling a sum of eight and spinning a 2.
- Spin a three, three times in a row.
- Roll an even sum and spin a prime number.
- Draw a five card hand containing exactly 3 red and 2 black cards.
- Draw a five card flush (a hand in which all cards are the same suit).
- Draw a hand of five cards containing exactly two hearts.
- Draw a hand of three cards that contains at least one spade.
- Roll a sum of 7 or 11 and draw three cards in which at least one is a face card.
