Answer:
- Question (2): 1/6 ≈ 0. 17
Explanation:
<u>1. Arrange the information of the balls contained in the bowls in a table:</u>
Bowl X Bowl Y Bowl Z Total
Red balls 2 2 1 5
White balls 2 1 3 6
Blue balls 3 1 2 6
==============================
Totals 7 4 6 17
<u>2. To answer each question use the basic definition of probabilities</u>
- Probability = # of favorable events / # of possible events
<u>3. Question (1) If the ball is blue, what is the probability that it was drawn from bowl X? </u>
<u />
- Number of total blue balls: 6
- Number of blue balls in the bowl X: 3
- Probability that a ball that is blue was drawn from the bowl X: P (b/X)
P (b/X) = number of blue balls in the bowl X / total number of blue balls = 3 / 6 = 1/2 = 0.5
<u>4. Question (2) If the ball is either blue or white, what is the probability that it was drawn from bowl Y?</u>
- Number of total blue and white balls: 6 + 6 = 12
- Number of blue balls and white balls in the bowl Y: 1 + 1 = 2
- Probability that a ball that is either blue or white was drawn from the bowl Y: P (b or w / Y)
P (b or w /Y) = number of blue balls and white balls in the bowl Y / total number of blue balls and white balls = 2 / 12 = 1/6 ≈ 0.17
Answer:
A) 120
Step-by-step explanation:
For this question you will need to use factorials
5! =5×4×3×2×1
which equals to 120
therefore the 5 people can be selected in 120 different ways
hope this helps
The lengths of the line segments are summarized in the following list:
- DF = 3
- DE = 8 / 3
- FG = 3
- FH = 9 / 2
- GH = 3 / 2
- EH = - 11 / 6
<h3>How to calculate the length of a line segment based on point set on a number line</h3>
Herein we have a number line with five points whose locations are known. The length of each line segment is equal to the arithmetical difference of the coordinates of the rightmost point and the leftmost point:
DF = - 1 - (- 4)
DF = 3
DE = (- 1 - 1 / 3) - (- 4)
DE = 3 - 1 / 3
DE = 8 / 3
FG = 2 - (- 1)
FG = 3
FH = (3 + 1 / 2) - (- 1)
FH = 4 + 1 / 2
FH = 9 / 2
GH = (3 + 1 / 2) - 2
GH = 1 + 1 / 2
GH = 3 / 2
EH = (3 + 1 / 2) + (- 1 - 1 / 3)
EH = - 2 + (1 / 2 - 1 / 3)
EH = - 2 + 1 / 6
EH = - 11 / 6
To learn more on lengths: brainly.com/question/8552546
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