Question: 1. Suppose you randomly choose an integer, n, between 1 and 10, and then draw a circle with a radius of n centimetres. What is

1. Suppose you randomly choose an integer, n, between 1 and 10, and then draw a circle with a radius of n centimetres. What is the expected area of this circle to the nearest hundredth of a square centimetre?

2. Suppose that whenever Enrico and Cliff play chess, odds are 2:1 in favour of Enrico winning a game. Suppose a 3-game match is arranged.

a)What is the probability that Enrico will not win all three games? ans: 19/27

b)What is the probability that Cliff will win exactly two games? ans:6/27

c)What are the odds in favour of Cliff winning the match? ans:2:1

* need process please!

3. In an experiment a tetrahedral die is rolled repeatedly until an even number shows up. What is the probability that it takes fewer than 4 rolls for this to occur?

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