Bag 1: 2R, 1B
Bag 2: 1R, 1B, 2Y
Draw 1 from each bag
a) P(same color)
We have 2/3 chance of drawing R from bag 1 and a 1/4 chance of drawing R from bag 2
P(both R) = (2/3)(1/4) = 1/6
We have a 1/3 chance of drawing B from bag 1 and 1/4 chance of B from bag 2
P(both B) = (1/3)(1/4) = 1/12
P(same color) =1/6 + 1/12 = 3/12 = 1/4
Answer: a) 1/4
b) P(exactly one R)
Same story except we look at the complement in bag 2
We have 2/3 chance of drawing R from bag 1 and a 1/4 chance of drawing R from bag 2, so a 3/4 chance of NOT drawing R.
P(1st red, second not red) = (2/3)(3/4) = 1/2
We have 1/3 chance of drawing B from bag 1, so 1/3 chance of drawing NOT red from bag 1. We have a 1/4 chance of drawing R from bag 2, so
P(1st blue, second not blue) = (1/3)(1/4) = 1/12
P = 1/2 + 1/12 = 6/12 + 1/12 = 7/12
Answer: 7/12
Answer: 8=x+5, x-3=5
Step-by-step explanation: Find the value of ‘x’ by subtracting 5 in the first equation. Add 3 to the second equation.
Area= 1/2 base x height
Area= 1/2 8x5
Area= 40/2
Area= 20cm^2
Answer:
$82.50
Step-by-step explanation:
8.75 * 8 = 70
5 * 2.50 = 12.5
70 + 12.5 = 82.5
So, one employee would earn a total of $82.50 which also means that each employee earned $82.50
Answer:
(6-√21, 6+√21)
Step-by-step explanation:
x^2 - 12x = -15
(x - 6)^2 - 36 = -15
(x - 6)^2 = 21
x - 6 = ± √21
x = 6 ± √21
