Question

Part A: Answer all the questions below. You are required to number all your answers correctly and write all the necessary solutions in your answer sheets.

1. If you would win $25 if you pulled a heart from a standard deck of 52 cards, the Expected Monetary Value would be? Write the implications if this bet is repeated a large number of times. [3 Marks]

2. Ifan8-characterPINisselectedfrom0,1,2,3,4,5,6,7,8,9,X,P,Rwhatisthetotal possible number of PINs without repetitions? [2 Marks]

3. How many total number of combinations without repetition has the set A = {2, 5, 9, 3, 7, 8, 1, 6} if you choose 4? [2 Marks]

4. If a box has 14 red, 300 blue, 5 green, and 2 black marbles, find the probability that a marble is not green if a marble is selected randomly. [2 Marks]

5. If a die is rolled, what is the probability of randomly getting a number greater than 4 or an even number?. [2.5 Marks]

Answer 1