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Miracle Learning Centre Maths Tuition Question on Probability. (O Level Maths Tuition/IP Maths Tuition/Secondary Maths Tuition)

1. A bowl of sweets contains 12 chocolate nuggets, 13 mints and 15 toffees. Mr Chan takes two sweets at random and eats them. (a) Draw a tree diagram to represent all the possible outcome. (b) Calculate the probability, as a fraction in its simplest form, that i) a chocolate nugget and a mint was taken. ii) none of the two sweets chosen were toffees. (c) A third sweet was randomly taken from the bowl. Calculate the probability that the first two sweets drawn were of the same type and the third was a chocolate nugget. Miracle Learning Centre Answer to Maths Tuition Question on Probability. (O Level Maths Tuition/IP Maths Tuition/Secondary Maths Tuition)

bi) P(that to get chocolate and mint) =12 40 × 13 39 + 13 40 × 12 39 = 15 bii) P(none of the two sweets are toffees) = 12 40 × 24 39 + 13 40 × 24 39 = 5 13 (c) P(two sweets of the same type and the third a chocolate nugget) =12 40 × 11 39 × 10 38 + 13 40 × 12 39 × 12 38 + 15 40 × 14 39 × 12 38 = 119 1235 Learn from our Maths Tuition Questions and Answers. Miracle Learning Centre Call 6463 8756 or sms 8128 8342/9839 9908. (Specialist in Science and Maths) for Primary, Secondary and JC levels. Miracle Learning Centre specialises in Maths tuition, Science tuition, Chemistry tuition and Physics tuition classes.