38% of 21,515,714 is 8175971.32 which can be rounded to 8,175,971.
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E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15
Bayes' theorem is transforming preceding probabilities into succeeding probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.
P(F|E)=P(E and F)÷P(E)
It is given that P(E)=0.3,P(F|E)=0.5
Using Bayes' formula,
P(F|E)=P(E and F)÷P(E)
Rearranging the formula,
⇒P(E and F)=P(F|E)×P(E)
Substituting the given values in the formula, we get
⇒P(E and F)=0.5×0.3
⇒P(E and F)=0.15
∴The correct answer is 0.15.
If, E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15.
Learn more about Bayes' theorem on
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Step-by-step explanation:
2 2/3
=><em>If</em> 8/3 = 1/6
x =1
1/6x = 8/3 ( Divide both sides by <em>1</em><em>/</em><em>6</em><em> </em>)
___ ___
1/6 1/6
(By cross-multiplying the numerators and denominators)
=> 1×6 8×6
___ x = ___
6×1 3×1
Cancelling out , we have
x = 8×2
____ = 8×2 = 16
1 × 1
<em>The</em><em> </em><em>final</em><em> </em><em>answer</em><em> </em><em>becomes</em><em> </em><em>1</em><em>6</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>