Complete question:
Consider 3 boxes, each of which contains 4 balls in particular, box 1 contains 4 white balls, box 2 contains 3 white balls and 1 red ball, box 3 contains 2 white balls and 2 red balls. Frank chooses a box at random. If boxes 1 and 3 are chosen, Frank extracts 2 balls without replacement. If box 2 is chosen Frank extracts 2 balls with replacement. USE ONLY THE CONDITIONAL PROBABILITY FORMALISM and derive an expression for the probability that the 2 extracted balls are red.
Answer:
11/288
Step-by-step explanation:
We are given:
Box 1: ( 4White, ORed)
Box 2: (3White, 1Red)
Box 3: (2White, 2 Red)
We are told that if Frank choose from Box 1 and Box 3, 2 balls are extracted without replacement.
Since there is no red ball in Box 1, there is no way 2 red balls will come out from Box1.
Our Event, E = getting 2 red balls.
Now Box 1 is ruled out, we have:
P[E(B1)]= 0
P[E/B3)] = (2 2) / (4 2)
= 1/6
If box 2 is chosen, 2 balls are extracted with replacement. Therefore for Box 2:
P(E/B2) = (1/4) *(1/4)
= 1/16
Therefore probability that 2 balls extracted are red, we have:
P(E)=P(E/B1) P(B1) + P(E/B2) P(B2)+P(E/B3) P(B3)
= 11/288
Answer:
search it up
Step-by-step explanation:
<3
Answer:
shift right then stretch vertically
Step-by-step explanation:
A
Answer:
B. -1.75 and 4
Step-by-step explanation:
f(x)=g(x)
Input the equations
x²-2x-8 = 1/4x-1
add 1 to both sides
and subtract 1/4x from both sides
x²-2 1/4x - 7 = 0
factor
a + b = -2 1/4
a * b = -7
1.75 + -4 = -2 1/4
1.75 * -4 = -7
reverse their symbols
1.75 becomes -1.75 and -4 becomes 4.
Answer:
y
Step-by-step explanation:
Just use the formula...,
; y - y(coordinate) = slope × [ x - x(coordinate)]
; where we firstly have to calculate the slope...,
; (8 - 2)/(4 - 6) = -3
Then substitute into the formula using point(4, 8)...and you can also use the other point if you wish to
; y - 8 = (-3)(x - 4)
; y - 8 = -3x + 12
Hence the equation of the line....,
; y = -3x + 20