10. (1 + 2 =3 marks) An unbalanced six sided die is rolled once and the number on the top of the die is observed. Suppose that probability to get number 2 is three times as large as probability to get number 1, probability to get number 3 is 0.04, probability to get number 4 is 0.16, probability to get number 5 is 0.08, and probability to get number 6 is 0.12. Let A be the event \"the number obtained on the top of the die is odd (1 or 3 or 5)" Let B be the event "the number obtained on the top of the die is smaller than 4(1 or 2 or 3)\". a. Suppose that probability of elementary event {1} is p. State the equation for finding the value of p and find the value of p. The value of p = Only 0.5 mark will be given for a. if the equation will not be stated. b. Find probabilities of events Aand B. Represent probabilities as decimals with two digits after decimal point. Show calculations for finding probability of event A and B, and state their values above horizontal line below horizontal line: Only 1 mark will be given for b. if the work in finding P(A) and P(B) will not be shown. P(A) = The probability of event A is P(B) = The probability of event B is 10