Question

4. A number from 1 to 10 is chosen at random. Find the probability of choosing
a) an even number
b) an odd number
c)a prime number in explanation​

Answer 1

Solution :

Here, the numbers are chosen from 1 to 10.

So, favourable outcomes are

1,2,3,4,5,6,7,8,9,10

a) Probability of choosing an even number

=> Total outcomes = 10

=> Favourable outcomes = 2,4,6,8,10

=> Probability = Favourable outcomes/Total outcomes = 5/10 = 1/2

b) Probability of choosing an odd number

=> Total outcomes = 10

=> Favourable outcomes = 1,3,5,7,9

=> Probability = Favourable outcomes/Total outcomes = 5/10 = 1/2

c) Probability of choosing a prime number

=> Total outcomes = 10

=> Favourable outcomes = 1,2,3,5,7

=> Probability = Favourable outcomes/Total outcomes = 5/10 = 1/2

Answer 2

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Solution :

Here, the numbers are chosen from 1 to 10.

So, favourable outcomes are

1,2,3,4,5,6,7,8,9,10

a) Probability of choosing an even number

➡️ Total outcomes = 10

➡️ Favourable outcomes = 2,4,6,8,10

➡️ Probability = Favourable outcomes/Total outcomes = 5/10 = 1/2

b) Probability of choosing an odd number

➡️Total outcomes = 10

➡️ Favourable outcomes = 1,3,5,7,9

➡️ Probability = Favourable outcomes/Total outcomes = 5/10 = 1/2

c) Probability of choosing a prime number

➡️Total outcomes = 10

➡️Favourable outcomes = 1,2,3,5,7

➡️ Probability = Favourable outcomes/Total outcomes = 5/10 = 1/2