cards are marked with numbers 1 to 25 are placed in the box mixed thorouly. One card is drawn at random from the box.what is the probability of getting a prime number, an even number, a number multiple of 5, a number divisible of 6, a number 4
Answers
Total number of cards = 25 (Given)
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Total possible number of cards that are prime number = 8
[ They are 2, 3, 5, 7, 11, 13, 17, 23 ]
P(prime number) = 8/25
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Total possible number of cards that are even = 12
[They are 2, 4, 6, 8, 10, 12, 14, 16, 18. 20, 22, 24]
P(even number) = 12/25
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Total possible number of cards that are multiples of 5 = 5
[They are 5, 10, 15, 20 ,25]
P(multiples of 5) = 5/25
P(multiples of 5) = 1/5
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Total possible number of cards that are divisible by 6 = 4
[They are 6, 12, 18, 24]
P(Divisible by 6) = 4/25
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Total possible number of cards that with the number 4 = 3
[They are 4, 14, 24]
P(with the number 4) = 3/25
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Prime numbers are 2,3,5,11,13,17,19 and 23.
Probability: 9/25
Even numbers are 2,4,6,8,10,12,14,16,18,20,22 and 24
Probability: 12/25
Multiples of 5 are 5,10,15,20 and 25
Probability: 5/25 = 1/5
numbers divisible of 6 are 6,12,18 and 24.
Probability: 4 /25
Probability of getting a number 4 = 1/4