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1. A pair of fair dice is thrown. (a) Copy and complete the tree diagram below, which shows the possible outcomes.

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(1)

IB Questionbank Maths SL 1

(3)

(3)

(3)

(d) Calculate the probability that event E occurs at least three times in the five throws.

(3) (Total 12 marks)

(2)

(b) Find the probability of obtaining at least two heads.

(3) (Total 5 marks)

(2)

IB Questionbank Maths SL 2

(6)

(8)

(c) Find which student is more likely to pass the test.

(3) (Total 17 marks)

(2)

(2)

0.15.

(3) (Total 7 marks)

(3)

IB Questionbank Maths SL 3

(3)

Find the percentage of boxes that should be made by machine B to achieve this.

(4) (Total 7 marks)

(3)

(4)

(2)

(d) Show that A and B are not independent.

(3) (Total 12 marks)

(4)

IB Questionbank Maths SL 4

2

(4)

(b) Find the expected value of X.

(3) (Total 7 marks)

(6)

Find the value of k for which Elena’s expected number of points is zero.

(7) (Total 13 marks)

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