Probability of less than 7, of getting 4, greater than 3 and odd or odd number

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In this article explain the statistics topic probability. Her we find or calculate the probability If a die is rolled one time then of getting a 4, of getting Less than 7, of getting greater than 3 or an odd number, of getting greater than 3 and an odd number . 

Question :-

If a die is rolled one time, find these probabilities

        1. of getting a 4
        2. of getting Less than 7
        3. of getting greater than 3 or an odd number
        4. of getting greater than 3 and an odd number

Sample space of a Dice Roll

                  n(S) = 6

S = {1, 2, 3, 4, 5, 6}

of getting a 4

Let A represent the event that of getting a 4.

A = 4

n (A) = 1

P(A) = n(A)/n(S) = 51/ 6

of getting Less than 7

Let B represent the event that of getting Less than 7.

B = 1, 2, 3, 4, 5, 6

n (B) = 6

P(B) = n(B)/n(S) = 6 / 6 =1

of getting greater than 3 or an odd number

Let C represent the event that of getting greater than 3 or an odd number.

C = {4, 5, 6, 1, 3} ,          n (C) = 5

P(C) = n(C)/n(S) = 5 / 6

of getting greater than 3 and an odd number

Let D represent the event that of getting greater than 3 and an odd number.

D = { 4, 5, 6, 1, 3 }                  n (D) = 5

P(D) = n(D)/n(S) = 5 / 6

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