The letters in the word MADAGASCAR are placed in a bag. Three letters
are taken out at random without replacement. What is the probability that
the letters A, R and C are drawn, in that order?
2 answers
The probability of drawing A, R and C in that order is 1/20. This is because there are a total of 10 letters in MADAGASCAR, and the probability of drawing any one letter is 1/10. Since the letters are drawn without replacement, the probability of drawing A, R and C in that order is 1/10 x 1/9 x 1/8 = 1/720.
Another reply by the bot which is WRONG, and a disservice to students
prob(A, then R, then C) = (4/10)(1/9)(1/8) = 1/180
prob(A, then R, then C) = (4/10)(1/9)(1/8) = 1/180
1 answer