Cards from an ordinary deck of 52 playing cards are turned face up one at a time. If the 1st card is an ace, or the 2nd a two, o
r the 3rd a three, or . . . , or the 13th a king, or the 14th an ace, or the 15th a two, and so on, we say that a match occurs. Compute the expected number of matches that occur.
1 answer:
Answer:
Expected number of matches that occur = 4 matches
Step-by-step explanation:
First of all, let X_i be the event that when we turn over card i if it matches the required cards face.
Thus, for example X_1 is the event that turning over one card results in an ace while X_2 is the event that turning over second card reveals a deuce.
The number of matched cards "N" is given by the sum of this indicator random variable as shown in the attached file;
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Answer:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Step-by-step explanation:
Consider the provided information.
Machine A can fill an order of widgets in a hours. Machine B can fill the same order of widgets in b hours.
Thus, in 1 hr machine A's work is 1/a and machine B's work is 1/b.
We need to find whether the Machine A's rate the same as that of Machine B?
Statement 1: Machines A and B finish the order at exactly 4:48 p.m.
Total time, A and B worked = 4:48 = 4+ hrs = 4+
hrs=
hours
Thus,
Let say Machine A's rate the same as that of Machine B
It is given that a and b are even integers, but is not an even integer.
Hence, Machine A's rate is not same as that of Machine B.
Therefore, statement (1) ALONE is sufficient.
Statement 2:
There are many possible case in which a and b are even integer and there sum is 20.
If a = b = 10 (both even), then Machine A's rate is same as that of Machine B.
if a = 6 and b = 14 (both even), then Machine A's rate is not same as that of Machine B.
Therefore, No unique answer with statement 2.
Hence, statement 2 alone is not sufficient.
Answer:
Hope this helps!
Step-by-step explanation:
