14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
Answer:
O C. 5.76 in2
Step-by-step explanation:
To find the <u>area</u> of a square, the formula is
length x width = area
length = 2.4
width = 2.4
2.4in x 2.4in = 5.76 in2
in2 is the part of the answer since in x in = in2
Answer:
-20n^2-39n-15
Step-by-step explanation:
Answer:
$56.875
Step-by-step explanation:
Given that :
Amount invested = principal, p = 3500
Interest rate, r = 6.5% = 0.065
Penalty on withdrawal = 3 month simple interest
Simple interest = principal * rate * time
Time = 3 months = 3/12 = 0.25 years
Hence,
Simple interest = 3500 * 0.065 * 0.25
Simple interest = $56.875
Hence, penalty paid = $56.875
Answer:
3432
Step-by-step explanation:
Total bands = 14
Bands played = 7
The possible lineups can be calculated using Combination.
So, the possible lineups are 14C7
=> 
=> 3432
