An integer is chosen at random from the integers 1 , 2 , 3 , . . . . . , 50 . The probability that the chosen integer is a multiple of atleast one of 4 , 6 and 7 is

Step-by-step solution

Let A = 1 , 2 , 3 , 4 , 5 , . . . . . . . . . , 50 Now, the probability of choosing a number which is a multiple of 4 will be P 4 = 12 50 Similarly, the probability of choosing a number which is a multiple of 6 will be P 6 = 8 50 And the probability of choosing a number which is a multiple of 7 will be P 7 = 7 50 Also, the probability of choosing a number which is a multiple of 4 & 6 will be P 4 ∩ 6 = 4 50 And the probability of choosing a number which is a multiple of 6 & 7 will be P 6 ∩ 7 = 1 50 And the probabili