Exam-Style Question on Probability
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 116. This question is similar to one that appeared on a IGCSE Extended paper in 2014. The use of a calculator is allowed.
For this question, give all your answers as fractions.
The letters of the word SUMMER are printed on 6 cards.
(a) A card is chosen at random. Write down the probability that it has the letter R printed on it.
(b) Find the probability that the card chosen at random does not have the letter M printed on it.
(c) Find the probability that the letter printed on the card chosen at random has no lines of symmetry.
(d) Chris chooses a card at random, replaces it, then chooses a card again. Calculate the probability that only one of the cards she chooses has the letter M printed on it.
(e) Graham chooses a card at random and does not replace it. He continues until he chooses a card with the letter M printed on it. Find the probability that this happens when he chooses the 3rd card.
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