4MA0 Higher January 2014 Paper 4R Q17

EdexcelHigherOld spec6 marksTree Diagrams

17 Hugo competes in the high jump at a school athletics competition.
He has up to 3 attempts to clear the bar at each height.
When he clears the bar, he does not have another attempt at that height.

When the bar is set at a height of 1.60 metres, the probability that Hugo will clear the bar on any attempt is 0.4

The probability tree diagram shows the possible outcomes of Hugo’s attempts at 1.60 metres.

Probability tree diagram for first, second and third attempts with branches Clear and Not clear; the Clear branches for the first and second attempts are labelled 0.4
(a) Complete the probability tree diagram to show the four missing probabilities. (1)
(b) Work out the probability that Hugo does not clear the bar on his first two attempts and then does clear the bar on his third attempt at 1.60 metres. (2)

Hugo clears the bar at 1.60 metres and the height is raised to 1.65 metres.
He has up to three attempts to clear the bar at 1.65 metres.

When the bar is set at a height of 1.65 metres, the probability that Hugo will clear the bar on any attempt is 0.3

(c) Find the probability that Hugo clears the bar at 1.65 metres. (3)
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