(a) Gareth is running a game stall at his school fete. In his game, a player must flip a coin and spin a fair 4-sided spinner. The sections of the spinner are labelled 1, 2, 3 and 4, as shown below.
(i) Write down all the possible outcomes. One has been done for you. [2]
Head, 1
(ii) A player wins a prize if the coin lands on tails and the spinner shows the number 4. Azi plays the game once.
What is the probability that Azi wins a prize? [2]
(b) Cerys says:
“The chance of throwing a three on an ordinary 6-sided dice is higher than the chance of throwing a six, because six is the hardest number to get.”
Is Cerys correct? Explain your reasoning fully. [1]
Award B1 for a minimum of 4 additional correct ordered pairs. B1 for H1, 2, 3, 4 AND T1, 2, 3, 4
(ii) 1/8 (ISW)
B2
F.T. sample space in part (a) only if at least B1 awarded. B1 for the numerator of 1 in a fraction < 1 OR B1 for the denominator of 8 in a fraction <1 Allow B1 for “1 out of 8”, “1 in 8” OR “1:8”.
Mark scheme (b)
Scheme
Marks
Comments
No as every number on a dice has an equal chance of being thrown.
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