On her vacations, Veena visits four cities (A, B, C and D) in a random order. What is the probability that she visits:
(i) A before B? (ii) A before B and B before C?
(iii) A first and B last? (iv) A either first or second (v) A just before B?
In a relay race, there are five teams, A, B, C, D and E.
What is the porbability
(i) that A, B, C finish first, second and third respectively?
(ii) that A, B and C are first three to finish (in any order)?
Number of arrangements of 5 girls in a line n(S) = 120
Event A: two of the girls are to be together. n = 5, r = 2
n(A) = Number of arrangements when 2 of the girls are together.
n(A) = r! (n - r + 1)! = 2!
(5 - 2 + 1)! =
Hence,
Letters of the word ‘EDUCATION’ are re-arranged. Find the probability that the vowels are always together.
Also, find the probability that the vowels are not all together.