<span>25/28 is the probability of picking two or three white balls.
Given that there are only 8 balls in total and of those 8, 5 of them are blue, this problem can be turned around to "What's the probability of selecting 5 blue balls?" And then subtracting that result from 1.
There are a total of 6 ways of selecting all 5 blue balls. The only difference is when the single white ball is selected. The 6 ways are BBBBBW, BBBBWB, ..., WBBBBB. So let's calculate the probability of each of those 6.
5/8 * 4/7 * 3/6 * 2/5 * 1/4 * 3/3 +
5/8 * 4/7 * 3/6 * 2/5 * 3/4 * 1/3 +
5/8 * 4/7 * 3/6 * 3/5 * 2/4 * 1/3 +
5/8 * 4/7 * 3/6 * 3/5 * 2/4 * 1/3 +
5/8 * 3/7 * 4/6 * 3/5 * 2/4 * 1/3 +
3/8 * 5/7 * 4/6 * 3/5 * 2/4 * 1/3 = ?
If you look closely at each of the 6 lines, you'll realize that the numerator will always be the product of 5!3 and the denominator will be 3*4*5*6*7*8. So, let's simplify to
6*5!3/(3*4*5*6*7*8)
= 6*5*4*3*2*3/(3*4*5*6*7*8)
= 2*3/(7*8)
= 3/(7*4)
= 3/28
Now we just need to calculate 1 - 3/28 = 28/28 - 3/28 = 25/28</span>
Answer:
0.29125 or 29.125%
Step-by-step explanation:
For the five fair coins, the probability of coming up head when flipped is 0.5, so for two flips: 0.5*0.5 = 0.25, for each of these coins. So, the probability to take on of them is 5/8, and the probability of coming up with head: (5/8)*0.25 = 0.15625.
For the unfair coins, the probability of coming up with heads is 0.6, so for two flips: 0.6*0.6 = 0.36 for each unfair coins. The probability to chose one of them is 3/8, and the probability of coming up with head: (3/8)*0.36 = 0.135.
These probabilities are dependent, so to have the total probability we must sum them:
P = 0.15625 + 0.135
P = 0.29125 or
P = 0.29125 x 100% = 29.125%
Answer:
x=21, y= 35
Step-by-step explanation:
3x+7=5x-35
(subtract seven from -35)
3x=5x-42
(subtract 5 from 3)
-2x=-42
(-42/-2= positive number)
x=21
y+75=3y+5
(subtract 75 from 5)
y=3y-70
(subtract 3y from y)
-2y=-70
y=35
The scatter plot shows that the heating bill will be about $95 for an average monthly temperature of 40°F.
<h3>
What is a scatter plot?</h3>
It should be noted that a scatter plot uses dots to represent values for different numeric variables. In this case, the position of each dot on the horizontal and vertical axis shows the values for an individual data point.
From the complete question, the graph attached shows that the heating bill will be about $95 for an average monthly temperature of 40°F.
In conclusion, scatter plots are used to observe the relationships between variables.
Learn more about scatter plots on:
brainly.com/question/6592115
