The probability that the first two votes drawn are both for candidate a is given by:
3C2/5C2 = 3/10
Having drawn two votes for candidate a on the first two draws, there are 2 votes for candidate b and one vote for candidate a remaining. The probability that a vote for candidate b will be drawn on the third draw is:
2/3.
After the first three draws, there reains one vote for candidate a and one vote for candidate b. The probability that a vote for candidate a will be drawn on the fourth draw is:
1/2.
The probability of the ordering aabab is therefore given by:
$\frac{3}{10}\times\frac{2}{3}\times\frac{1}{2}=\frac{6}{60}$
The answer is: 0.1.

7 0

2 years ago

Casandra is training for a 10 mile race. On the first day of running training she runs 4 miles, each day after that she adds on

ArbitrLikvidat [17]

Let the number of days needed be x.

First day = 4 miles = 3.5 + 0.5
Second day = 3.5 + 0.5(2)
Third day = 3.5 + 0.5(3)

Equation: 3.5 + 0.5x

Find the number of days needed to run 8 miles:
3.5 + 0.5x = 8
0.5x = 4.5
x = 9

Answer: Casandra 8 miles on the 9th day.

7 0

3 years ago