chang has 2 shirts: a white one and a black one. he also has 2 pairs of pants, one blue and one tan. what is the probability, if
2 answers:
Answer:
Probability is :
Step-by-step explanation:
Chang has 2 shirts: a white one and a black one.
The probability of choosing the white shirt is
Chang has 2 pairs of pants: one blue and one tan.
The probability of choosing the tan pants is
Here both the events are independent.
Therefore the probability of wearing the white shirt and tan pants is:
=
You might be interested in
Looks like the given limit is
With some simple algebra, we can rewrite
then distribute the limit over the product,
The first limit is 0, since 1/3ⁿ is a positive, decreasing sequence. But before claiming the overall limit is also 0, we need to show that the second limit is also finite.
For the second limit, recall the definition of the constant, <em>e</em> :
To make our limit resemble this one more closely, make a substitution; replace 9/(<em>n</em> - 9) with 1/<em>m</em>, so that
From the relation 9<em>m</em> = <em>n</em> - 9, we see that <em>m</em> also approaches infinity as <em>n</em> approaches infinity. So, the second limit is rewritten as
Now we apply some more properties of multiplication and limits:
So, the overall limit is indeed 0: