Question 17 — IGCSE 0580 May/June 2025 Paper 21
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Probability · General. Worth 7 marks.
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Question text
17 (a) A bag contains 6 red marbles, 3 green marbles and 1 blue marble.
T wo marbles are picked at random from the bag with replacement.
Find the probability that both marbles are green.
................................................. [2]
(b) Another bag contains 4 red counters and 2 yellow counters.
T wo counters are picked at random from this bag without replacement.
(i) Complete the tree diagram.
First Second
counter counter
Red
3
5
Red
4
6
Yellow
............
Red
............
2
6
Yellow
Yellow
............
[2]
(ii) Find the probability that one of the two counters is yellow.
................................................. [3]
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© UCLES 2025 (cid:300)(cid:230)(cid:271)(cid:241)(cid:209)(cid:297)(cid:262)(cid:272)(cid:227)(cid:249)(cid:247)(cid:280)(cid:229)(cid:243)(cid:275)(cid:225)(cid:267)(cid:258) 0580/21/M/J/25
(cid:293)(cid:229)(cid:261)(cid:213)(cid:245)(cid:213)(cid:261)(cid:213)(cid:261)(cid:197)(cid:181)(cid:261)(cid:197)(cid:181)(cid:197)(cid:277)(cid:229)(cid:213)
M
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0000800000014 *
14
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)
NIGRAM
DFD
Mark scheme
