Correct question:
An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball. (A draws the first ball, then B, and so on. There is no replacement of the balls drawn).
Answer:
The probability that A selects the red ball is 58.33 %
Step-by-step explanation:
A selects the red ball if the first red ball is drawn 1st, 3rd, 5th or 7th
1st selection: 9C2
3rd selection: 7C2
5th selection: 5C2
7th selection: 3C2
9C2 = (9!) / (7!2!) = 36
7C2 = (7!) / (5!2!) = 21
5C2 = (5!) / (3!2!) = 10
3C2 = (3!) / (2!) = 3
sum of all the possible events = 36 + 21 + 10 + 3 = 70
Total possible outcome of selecting the red ball = 10C3
10C3 = (10!) / (7!3!)
= 120
The probability that A selects the red ball is sum of all the possible events divided by the total possible outcome.
P( A selects the red ball) = 70 / 120
= 0.5833
= 58.33 %
<span>D. Let x represent the number of trays of dog bone treats made and y represent number of trays of oatmeal dog treats made.</span>
3.60
bc using a part to whole chart you cross multiply 24*15 get 360 then divide it by 100 and get 3.60
A sideways opening parabola is in the form
, so we know from the process of elimination that it will either be b or c. Next we have to realize that if the parabola opens to the left it is a negative parabola, just like if a parabola opens upside down it is a negative parabola. So the one that has the negative out front is b.
Let us say that:
o = cost of oranges per pound
p = cost of pears per pound
so that:
o = p – 2
Therefore:
10o + 8p = 61
10 (p – 2) + 8p = 61
10p – 20 + 8p = 61
18p = 81
p = 4.5
p = $4.5 per pound
So 3 pounds of pears would cost:
total cost = 3 * 4.5
total cost = $13.5
