A shopping mall is having a seasonal lucky draw. For every purchase over $500, a customer can enter the lucky draw once. In the lucky draw, the customer draws a bal from a box containing 80 balls in comprising four different colours. Each colour represents a prize, as shown below. Colour Red Blue Yellow White Number of balls In the box 2 10 28 40 Prize A gold coin $100 cash coupon $50 cash coupon $20 cash coupon If the purchase is over $1000, the customer can draw two balls without replacement. a) If a ball is drawn at random, find the probability of getting a cash coupon. b) If two balls are randomly drawn without replacement, find the probability of gett i) One cash coupon and one gold coin. ii) Two cash coupons with the same value. iii) It is given that the two cash coupons have the same value; find the probabilit the two cash coupons are worth $20.

A box contains balls numbered 1 through 23.   What are the outcomes that are a multiple of 5, and greater than or equal to 7? Write your answer as a list; for example: 1, 4, 5

Provide the complete solution and illustration

Suppose that you and a friend are playing cards and decide to make a bet. If you draw two clubs in succession from a standard deck of 52 cards without replacing the first card, you win $⁢40. Otherwise, you pay your friend $⁢10. If the same bet was made 25 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary. Win: Lose:

A jar on your desk contains fourteen black, seven red, eleven yellow, and seven green jellybeans. You pick a jellybean without looking. Find the odds of picking a black jellybean.

A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes to rest in one of many spots.  Whatever is listed in that spot will be the player's winnings.  If the wheel has 7 spots labeled $1, 9 spots labeled $2, and 6 spots labeled $10, how much should a player expect to win on average? Round to the nearest cent.

Solve subparts c ,d and e

A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 7-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try? The number of possible codes is. (Type an integer or fraction. Simplify your answer.)