Each of the six sections is equally likely. Use the shading in the diagram.

(a)(i) For one spin find P(shaded). [1]

(a)(ii) Find P(number 1). [1]

(a)(iii) Find P(shaded and number 1). [1]

(a)(iv) Find P(shaded or number 1). [1]

(b)(i) The spinner is spun twice. Find P(total 20). [2]

(b)(ii) Find P(total 11). [2]

(c)(i) Given shaded, find P(number 2). [1]

(c)(ii) Given number 2, find P(shaded). [1]

(d) It is spun until the first number 2. The probability that this occurs on spin n is 16/243. Find n. [2]