(c) Some identical cards are numbered from 2 to 25 and well shuffled.
When a card is drawn randomly, what is the probability that the card has:
(i) a prime number
(ii) a multiple of 2 and 3
(iii) not a multiple of 7.
(iv) a perfect cube number.
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(I) prime numbers between 2 and 25 are
2,3,5,7,11,13,17,19,23 i.e a total of 9 prime numbers
therefore the probability of getting a prime number = 9/24
(ii) a multiple of 2 and 3 is actualy a multiple of 6 therefore there are 6,12,18,24 i.e a total of 4 such numbers.
so probability=4/24=1/6
(iii)there are 3 multiples of 7 therefore there are are 21 which are not
so probability=21/24
(iv) there is only one perfect cube which is 8
so probability=1/24
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