,
,
We find the probability of intersection using the inclusion/exclusion principle:
By definition of conditional probability,
For
and
to be independent, we must have
in which case we have
, which is true, so
and
are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have
which is also true.
The outcome for the flip is 2.
Probability:
Probability refer the possibility of the event required.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given,
There are 4 coins.
You get a dollar for every head. all four coins are flipped.
To find the outcome of the flips.
The possible outcomes from the initial flip are:
"4 heads" x 1
"3 heads" x 4
"2 heads" x 6
"1 heads" x 4
"0 heads" x 1
This gives an expected return of
=> (4 + 12 + 12 + 4 + 0)/16 = 2
So, the outcome is 2.
Either if you keep it then you have 2 as outcome of the flips, otherwise if you reflip the coins then you will get the same probability for it also.
To know more about Probability here.
brainly.com/question/11234923
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Answer:
B
Step-by-step explanation:
45+27=72
A- 15 times 9 equals 135
B- 8 times 9= 72
C 45 times 18 equals 810,
D- 14 times 12 equals 68
<em>2 solutions</em>
<em>X= 16</em>
<em>X=49</em>
Step-by-step explanation:
<em>original equation</em>
<em>x-11√x+28 = 0</em>
<em> Isolate</em>
<em> -11√x = -x-28+0</em>
<em> Tidy up</em>
<em> 11√x = x+28</em>
<em> Raise both sides to the second power</em>
<em> (11√x)2 = (x+28)2</em>
<em>After squaring</em>
<em> 121x = x2+56x+784</em>
<em> Plug in 49 for x </em>
<em> 11√(49) = (49)+28</em>
<em>Simplify</em>
<em> 11√49 = 77</em>
<em> Solution checks !!</em>
<em> Solution is:</em>
x = 49
<em>Plug in 16 for x </em>
<em> 11√(16) = (16)+28</em>
<em>Simplify</em>
<em> 11√16 = 44</em>
<em> Solution checks !!</em>
<em> Solution is:</em>
x = 16
