iGCSE Mathematics (0580) :E8.3 Understand that the probability of an event occurring = 1 – the probability of the event not occurring.iGCSE Style Questions Paper 2

Question

The diagram shows a fair spinner.

Anna spins it twice and adds the scores.
(a) Complete the table for the total scores.

(b) Write down the most likely total score.
(c) Find the probability that Anna scores
(i) a total less than 6,
(ii) a total of 3.

Answer/Explanation

Ans:

(a)

577810
7991012

(b) 7
(c) (i) \(\frac{7}{25}\) or 0.28 or 28%
(ii) 0

Question



One of the 6 letters is taken at random.
(a) Write down the probability that the letter is S.
(b) The letter is replaced and again a letter is taken at random.
This is repeated 600 times.
How many times would you expect the letter to be S?

Answer/Explanation

Ans:

(a) \(\frac{2}{6}\) oe
(b) 200

Question

(a) A box contains 3 blue pens, 4 red pens and 8 green pens only.
A pen is chosen at random from the box.
Find the probability that this pen is green.
……………………………………….
(b) Another box contains 7 black pens and 8 orange pens only.
Two pens are chosen at random from this box without replacement.
Calculate the probability that at least one orange pen is chosen

Answer/Explanation

(a)\(\frac{8}{15}\)
(b)\(\frac{168}{210}\)

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