The organisers have assigned the highest 4 totals as prizes for the top shelf (most expensive), leaving the other totals as bottom shelf (least expensive) prizes. Using the results from the two-way table: 10b. *** Calculate the probability of a player winning a top shelf prize. Give your answer as a fraction. 10c.***At the end of the day, the organisers realise they gave away too many top shelf prizes. Which four (4) totals should the organisers have chosen to make it hardest to win the top shelf prizes. (Use probability calculations and fraction answers to justify your response) End of Exam TVTiked Cher es and Sn Q K Here is a standard deck of cards: 10 3 U 3 K OP N 8 9 10 O Q K ON 10 7 5 N O 5 3 N 9 ** John is a magician. He draws one card at random from the standard deck of 52 cards above. What is the probability of drawing a six or a seven or an eight or a heart? Give your answer as a percentage. (Round to two decimal places)pes and herry D. s this survey Problem Solving and Reasoning A fair coin is tossed and a Spinner spun once. 8a. * Complete the two-way table below to represent the possible outcomes. Coin Spinner Green Blue AZABETS A 2020 Red snickers Spinner Coin 8b.* Determine the probability of getting a Head and a Green 8c.* Determine the probability of getting a Tail and a Blue or a Head and a Red80 alls 4* A fair coin was tossed 125 times. A head came up 50 times. (a) Calculate the relative frequency of a Head as a decimal (b) Represent the relative frequency of a Tail as a simplified fraction 5.* The probability of an event occurring is P(E) = .Calculate the complement of this event. (Show Working)6.* * Two standard dice are rolled. Below is a two-way table representing all possible outcomes: Second throw 2 3 4 5 6 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) First (3,1) (3,2) (3, 3) (3,4) (3,5) (3,6) throw (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) For the following, give your answers in fraction form. When the two dice are rolled, determine the probability that the sum of the uppermost faces of the 2 dice is: a) equal to 6 b) equal to 5 or 8 c) equal to 1 d) less than 10Using the results from the tu a heart? 10b. .** Calculate the probat al place dard deck of 52 mm-. The organisers of a school fete plan to have a laughing clown game as a fundraiser. They want to ensure that they raise as much money as possible for the school. The slots for the ball to land in are: 2 3 4 5 6 Each player is allowed to roll two (2) balls. Prizes are awarded by adding the scores after both balls have been rolled. Please note - the 2 balls are able to land in the same slot 10a.*** Construct a two-way table to display all possible outcomes we or a He Continued on next page