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1 Exercises 1. Describe what is meant by object-oriented programming. 2. Describe what is meant by the term inheritance

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Exercises

1. Describe what is meant by object-oriented programming.

2. Describe what is meant by the term inheritance in object-oriented pro-gramming. Use examples.

3. A coin is weighted so that heads is four times as likely as tails. Find the probability that: (a) tails appears, (b) heads appears

4. Under which of the following functions does S = {a1, a2} become a

prob-ability space?

(a) P (a1) = 13, P (a2) =12 (b) P (a1) =34, P (a2) = 14

(c) P (a1) = 1, P (a2) = 0 (d) P (a1) =54, P (a2) = −14

5. Identify, if any, the sinks and sources of the digraph shown in Figure 1.

A B

C

Figure 1: Digraph for Question 5

2

Solutions

3 Let p = P (T ), then P (H) = 4p. We require P (H) + P (T ) = 1, so 4p + p = 1, hence p = 15. Therefore: (a) P (T ) = 15, (b) P (H) =45

4 4b and 4c

5 A is a souce and C is a sink.

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A coin is weighted so that heads is four times as likely as tails. Find the probability that: (a) tails appears, (b)

Sample Problem Sheet Nicola Talbot July 10, 2017

A coin is weighted so that heads is four times as likely