Question

Two numbers are selected randomly from the set `S={1,2,3,4,5,6}` without replacement one by one. The probability that minimum of the two numbers is less than 4 is `1//15` b. `14//15` c. `1//5` d. `4//5` A. `1//15` B. `14//15` C. `1//5` D. `4//5` Select the correct answer from above options

Answer 1

Correct Answer - D Here, two numbers are selected from {l 2 3 4 5 6} `rArr n(S)=6xx5` {as one by one without replacement} Favourable events = the minimum of the two numbers is less than `4. n( E) =6xx4` {as for the minimum of the two is less than 4 we can select one from (1, 2, 3, 4) and other from (1, 2, 3, 4, 5, 6) `therefore` Required probability =`(n(E))/(n(S))=(24)/(30)=4/5`