Question

18.
A die has six faces numbered from 1 to 6, it is rolled and the number on the top face is
noted. When this is treated as random trail. Find the probability of
(i). Anumber which is composite
(ü). A number which is a Prime
(iii). Anumber which is greater than 2
(iv). A number which is 7​

Answer 1

Step-by-step explanation:

(a) Possible outcomes ={1,2,3,4,5,6}

(b) All of them having probability =

6

1

So, they have equal chances

(c) Composite numbers between 1 to 6 ={4,6}

Probability =

6

2

=

3

1

Answer 2

Step-by-step explanation:

(i) Probablity of getting a composite(4,6) = 2

Probablity of getting a composite(4,6) = 2 Total no. of faces = 6

Probablity of getting a composite(4,6) = 2 Total no. of faces = 6Probability of getting composite= 2/6 = 1/3

(ii) Probablity of getting a prime(2,3,5) = 3

Total no. of faces = 6

Total no. of faces = 6Probability of getting prime= 3/6 = 1/2

(iii) Probablity of getting a number more than 2(3,4,5,6) = 4

Total no. of faces = 6

Total no. of faces = 6Probability of getting a number more than 2 = 4/6. = 2/3

(iv)Probabilty of getting 7 = 0

total no of faces 6

Probability of getting 7= 0/6 = 0