Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Answer:
Step-by-step explanation:
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Hope this helped!
<h3>~AH1807</h3>
<h3>
are the slopes of perpendicular lines</h3>
<em><u>Solution:</u></em>
We know that,
Product of slope of a line and slope of line perpendicular to it is always equal to -1
<em><u>Option 1</u></em>
Thus, these are not the slopes of perpendicular lines
<em><u>Option 2</u></em>
This option satisfies the slopes of perpendicular lines
<em><u>Option 3</u></em>
Thus, these are not the slopes of perpendicular lines
<em><u>Option 4</u></em>
2 and 2
Product = 2 x 2 = 4
Thus, these are not the slopes of perpendicular lines
Answer:
m<BDC = 62 degrees
Step-by-step explanation:
Using the expression;
<ABC = <ABD + <DBC
107 = 7x-4 + 9x - 1
107 = 16x-5
16x = 107 + 5
16x = 112
x = 112/16
x = 7
Get m<DBC
m<BDC = 9x - 1
m<BDC = 9(7)-1
m<BDC = 63 - 1
m<BDC = 62 degrees
Answer:
3:5
The ratio of pens:pencils is 3:5.
Step-by-step explanation:
