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AleksAgata [21]
3 years ago
13

A plastic sack contains 20 green and yellow, 14 red and yellow, and 16 orange and yellow gummy treats. How much greater is the p

robability you will randomly select a green and yellow treat that an orange and yellow treat?
Mathematics
1 answer:
noname [10]3 years ago
4 0

Answer:

Probability of choosing green and yellow treat  is higher than Probability of choosing an orange and yellow treat  by 0.08

Step-by-step explanation:

Given -

Green and yellow gummy treats = 20

Red and yellow gummy treats = 14

Orange and yellow gummy treats = 16

Total gummy treat = 20+14+16 = 50

Probability of choosing green and yellow treat = 20/50 = 0.4

Probability of choosing an orange and yellow treat = 16/50 = 0.32

Probability of choosing green and yellow treat  is higher than Probability of choosing an orange and yellow treat  by 0.08

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A quiz-show contestant is presented with two questions, question 1 and question 2, and she can choose which question to answer f
Mrrafil [7]

Answer:

The contestant should try and answer question 2 first to maximize the expected reward.

Step-by-step explanation:

Let the probability of getting question 1 right = P(A) = 0.60

Probability of not getting question 1 = P(A') = 1 - P(A) = 1 - 0.60 = 0.40

Let the probability of getting question 2 right be = P(B) = 0.80

Probability of not getting question 2 = P(B') = 1 - P(B) = 1 - 0.80 = 0.20

To obtain the better option using the expected value method.

E(X) = Σ xᵢpᵢ

where pᵢ = each probability.

xᵢ = cash reward for each probability.

There are two ways to go about this.

Approach 1

If the contestant attempts question 1 first.

The possible probabilities include

1) The contestant misses the question 1 and cannot answer question 2 = P(A') = 0.40; cash reward associated = $0

2) The contestant gets the question 1 and misses question 2 = P(A n B') = P(A) × P(B') = 0.6 × 0.2 = 0.12; cash reward associated with this probability = $200

3) The contestant gets the question 1 and gets the question 2 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.4×0) + (0.12×200) + (0.48×300) = $168

Approach 2

If the contestant attempts question 2 first.

The possible probabilities include

1) The contestant misses the question 2 and cannot answer question 1 = P(B') = 0.20; cash reward associated = $0

2) The contestant gets the question 2 and misses question 1 = P(A' n B) = P(A') × P(B) = 0.4 × 0.8 = 0.32; cash reward associated with this probability = $100

3) The contestant gets the question 2 and gets the question 1 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.2×0) + (0.32×100) + (0.48×300) = $176

Approach 2 is the better approach to follow as it has a higher expected reward.

The contestant should try and answer question 2 first to maximize the expected reward.

Hope this helps!!!

3 0
3 years ago
#1 #2 #3 & #4 thank you
lubasha [3.4K]
I only (sort of) know 3 and 4

3. Andle 1 is an example of an angle bigger than
{90}^{o} c
I don't know what you call it.

4. If you have a straight line, both angles (or more) added up need to be
{180}^{o} c
so if angle 1 is 129, 180-129=51
angle 2 is
{51}^{o} c

If 1 is what is the relationship between the two angles, then maybe the answer is that they both added up need to be 180 degress (?)

And 2 is probably the same as 3 but with angle 2, angle two is an example of an angle smaller than 90 degrees
6 0
3 years ago
Read 2 more answers
-2/3(3x-9) = 15 please help
Lina20 [59]
Your answer would be x=-10.5

First distribute -2/3 to 3x and -9
-2x+6=15
Then subtract 6 from both sides
-2x=9
Divide both sides by -2
x=-4.5
6 0
3 years ago
A line has an y-intercept of 4 and a x-intercept of 1. Use this information to write a function in slope intercept form (y = mx
Ad libitum [116K]

Answer:  D.  y = -4x + 4

Step-by-step explanation:

Notice that the y-intercept is when x is zero and the x intercept is when y is 0.

and to write in the equation in slope intercept form , you will need the slope and the intercept.

We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.

y intercept: ( 0,4)  

x intercept: (1,0)

y coordinates difference:  4 - 0 = 4

x coordinates difference:  0 - 1 = - 1  

Slope:  4/-1 =  -4  

Since the slope is -4 and the the y intercept is 4 , the equation will be

 y = -4x + 4

7 0
3 years ago
Which set of ordered pairs that satisfy the equation
krok68 [10]

Answer:

3

Step-by-step explanation:

3

5 0
3 years ago
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