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vagabundo [1.1K]
3 years ago
7

The side length of a smaller square is one-fourth the side length of a larger square. Which of the following statements describe

the area of the smaller square?
A.The area of the smaller square is
1/2 the area of the larger square.

B.The area of the smaller square is
1/4 the area of the larger square.

C.The area of the smaller square is
1/16 the area of the larger square.

D.The area of the smaller square is
1/8 the area of the larger square.
Mathematics
2 answers:
nignag [31]3 years ago
6 0

Answer:

b

Step-by-step explanation:

evablogger [386]3 years ago
5 0

Answer: B

Step-by-step explanation:

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Consider two independent tosses of a fair coin. Let A be the event that the first toss results in heads, let B be the event that
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Answer with Step-by-step explanation:

We are given that two independent tosses of a fair coin.

Sample space={HH,HT,TH,TT}

We have to find that A, B and C are pairwise independent.

According to question

A={HH,HT}

B={HH,TH}

C={TT,HH}

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A\cap C={HH}

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Using the formula

Then, we get

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Number of favorable cases to event B=2

Number of favorable cases to event C=2

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P(C)=\frac{2}{4}=\frac{1}{2}

If the two events A and B are independent then

P(A)\cdot P(B)=P(A\cap B)

P(A\cap)=\frac{1}{4}

P(B\cap C)=\frac{1}{4}

P(A\cap C)=\frac{1}{4}

P(A)\cdot P(B)=\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}

P(B)\cdot P(C)=\frac{1}{4}

P(A)\cdot P(C)=\frac{1}{4}

P(A)\cdot P(B)=P(A\cap B)

Therefore, A and B are independent

P(B)\cdot P(C)=P(B\cap C)

Therefore, B and C are independent

P(A\cap C)=P(A)\cdot P(C)

Therefore, A and C are independent.

Hence, A, B and C are pairwise independent.

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Answer:

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