Question 9 — IGCSE 0580 May/June 2024 Paper 43
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Probability · General. Worth 12 marks.
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Question text
9
N A M I B I A
The diagram shows 7 cards.
(a) Amir picks a card at random.
Find the probability that the card shows
(i) the letter H
................................................. [1]
(ii) the letter B.
................................................. [1]
(b) Fumika picks one of the 7 cards at random.
She replaces it and picks a second card at random.
Find the probability that both cards show the letter I.
................................................. [2]
(c) Marcos picks two of the 7 cards at random, without replacement.
(i) Find the probability that one card shows the letter I and the other card shows the letter N.
................................................. [3]
(ii) Find the probability that the two cards show different letters.
................................................. [3]
(cid:300)(cid:205)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:203)(cid:241)(cid:209)(cid:257)(cid:205)(cid:290)(cid:212)(cid:272)(cid:200)(cid:290)(cid:215)
© UCLES 2024 (cid:300)(cid:282)(cid:277)(cid:227)(cid:199)(cid:288)(cid:198)(cid:273)(cid:220)(cid:264)(cid:240)(cid:180)(cid:216)(cid:264)(cid:250)(cid:178)(cid:216)(cid:258) 0580/43/M/J/24
(cid:293)(cid:197)(cid:261)(cid:277)(cid:181)(cid:245)(cid:261)(cid:245)(cid:245)(cid:181)(cid:213)(cid:213)(cid:245)(cid:261)(cid:293)(cid:277)(cid:213)(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
* 0019655323419 *
19
(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:3)(cid:4)(cid:5)(cid:2)(cid:10)(cid:44)
(d) Nina picks one of the 7 cards at random without replacement.
She continues picking cards at random without replacement until she picks a card that shows the
letter A.
4
The probability that this occurs when she picks the nth card is .
21
Find the value of n.
n = ..................................................[2]
(cid:300)(cid:207)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:203)(cid:241)(cid:209)(cid:257)(cid:205)(cid:290)(cid:212)(cid:270)(cid:200)(cid:290)(cid:215) [Turn over
© UCLES 2024 (cid:300)(cid:282)(cid:278)(cid:228)(cid:191)(cid:298)(cid:202)(cid:289)(cid:221)(cid:242)(cid:257)(cid:245)(cid:260)(cid:240)(cid:222)(cid:178)(cid:232)(cid:258) 0580/43/M/J/24
(cid:293)(cid:197)(cid:245)(cid:213)(cid:245)(cid:277)(cid:293)(cid:277)(cid:293)(cid:197)(cid:261)(cid:213)(cid:245)(cid:293)(cid:261)(cid:213)(cid:197)(cid:213)
NIGRAM
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
* 0019655323420 *
20
(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:3)(cid:4)(cid:5)(cid:3)(cid:1)(cid:44)
NIGRAM
Mark scheme
