If the card is replaced after the fourth draw what is the probability of drawing a card bearing a multiple of 3 or 7 by the fifth boy?
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Step-by-step explanation:
There are a total of 10 cards in the bag, all bearing even numbers on them.
A. Since the only even prime number is 2 and there is exactly one card which bears this number, the probability of drawing a card with a prime number on it is
10
1
=0.1
B. There are 5 numbers divisible by 4, they are 4,8,12,16,20. So, the probability of drawing a card which has a number divisible by 4 on it is
10
5
=0.5
C. There are 3 numbers which are multiples of 6, they are 6,12,18. So, the probability of drawing a card which has a number divisible by 6 on it is
10
3
=0.3
D. There is no odd-numbered card in the bag. So the probability of drawing a card with an odd number on it is 0.
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