Grade 11 Math SL SECTION A – Practice questions on Tree diagram – 06/10/2014

Grade 11 Math SL SECTION A – Practice questions on Tree diagram – 06/10/2014

PROBABILITY

SOLVE THE FOLLOWING QUESTIONS USING TREE DIAGRAMS : 

1. Stephano is having problems. His desktop computer will only boot up 90% of the time and his laptop will only boot up 70% of the time.
(a) Draw a tree diagram to illustrate this situation.
(b) Use the tree diagram to determine the chance that:
(i) both will boot up   (ii) Stephano has no choice but to use his desktop computer.

2. Bag A contains 4 red jelly beans and 1 yellow jelly bean. Bag B contains 2 red and 3 yellow jelly beans. A bag is randomly selected by tossing a coin, and one jelly bean is removed from it. Determine the probability that it is yellow.

3. Machine A cans 60% of the fruit at a factory. Machine B cans the rest. Machine A spoils 3% of its product, while Machine B spoils 4%. Determine the probability that the next can inspected at this factory will be spoiled.

4. A bin contains 4 blue and 5 green marbles. A marble is selected from this bin and its colour is noted. It is then replaced. A second marble is then drawn and its colour is noted. Determine the probability that:
(a) both are blue                                                                                                                                                        (b) the first is blue and the second is green                                                                                                    (c) there is one of each colour.

5. Sylke has bad luck with the weather when she takes her summer holidays. She estimates that it rains 60% of the time and it is cold 70% of the time.
(a) Draw a tree diagram to illustrate this situation.
(b) Use the tree diagram to determine the chance that for Sylke’s holidays:
(i) it is cold and raining           (ii) it is fine and cold.

 

Duration : 45 minutes 

Submission Date : 8th October,2014

Regards,

Krishna

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