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Question

(a) A box contains marbles which are marked with first ten natural numbers. Find the probability of getting a marble marked with a multiple of 2.

(b) A bag contains 3 red balls, 6  blue balls, 1 is black and 2 balls are green. If you want to pick out a red ball what is the probability that you will get a red ball?  [3 MARKS]


Solution

Part a: 1.5 Marks
Part b: 1.5 Marks

(a) First ten natural numbers = 1,2,3,4,5,6,7,8,9,10.

Total number of  natural numbers = 10

Multiple of 2 = 2,4,6,8,10.

 Number of multiples of 2 are = 5

Probability of getting multiple of 2:
=Number of multiples of 2Total number of  natural numbers

P(E)=510=12

(b) Total number of balls in the bag = 3 + 6 + 1 + 2 = 12

Probability of getting a red ball:
=Number of red ballsTotal number of balls

P(E)=312=14

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