Given a spinner as shown in the illustration below, two fair six

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.

  1. Spin a 4 and roll doubles.
  2. Spin an odd number and roll an odd sum.
  3. Draw four red cards in a row without replacement.
  4. Draw three face cards (jack, queen, king) without replacement.
  5. Rolling a sum of eight and spinning a 2.
  6. Spin a three, three times in a row.
  7. Roll an even sum and spin a prime number.
  8. Draw a five card hand containing exactly 3 red and 2 black cards.
  9. Draw a five card flush (a hand in which all cards are the same suit).
  10. Draw a hand of five cards containing exactly two hearts.
  11. Draw a hand of three cards that contains at least one spade.
  12. Roll a sum of 7 or 11 and draw three cards in which at least one is a face card.