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yuradex [85]
4 years ago
11

How many numbers are equal to the sum of two odd, one-digit numbers?

Mathematics
1 answer:
Dennis_Churaev [7]4 years ago
4 0

Answer:

Seven numbers.

Step-by-step explanation:

Finding the numbers, which are equal to the sum of two odd number and it has to be single digit number.

Lets look into numbers which are odd and single digit.

1 = 1+3, 1+5, 1+7, 1+9

∴ Sum of the number is 4,6,8\ and\ 10

3 = 3+5, 3+7, 3+9

∴ Sum of above number is 8,10\ and\ 12

5 = 5+7, 5+9

∴ Sum of above number is 12\ and\ 14

7= 7+9

∴ Sum of above number is 16

Now, accumlating numbers which are fullfiling the criteria, however, making sure no number should get repeated.

∴ Numbers are: 4,6,8,10,12,14\ and\ 16

Hence, there are total 7 numbers, which  are equal to the sum of two odd, one-digit numbers.

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Answer:

(a)\frac{1}{17} (b) \frac{1}{16}

Step-by-step explanation:

GIVEN: Suppose that two cards are randomly selected from a standard​ 52 card deck.

TO FIND: (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without​ replacement? ​(b) What is the probability that the first card is a club and the second card is a club if the sampling is done with​ replacement.

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Probability that first card is club P(A)=\frac{\text{total club cards}}{\text{total cards}}

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Probability that first card is club and second card is club =P(A)\times P(B)

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(b)

Probability that first card is club P(A)=\frac{\text{total club cards}}{\text{total cards}}

                                                   =\frac{13}{52}

                                                   =\frac{1}{4}

As sampling is done with replacement.

probability that second card is club  P(B)=\frac{\text{total club cards}}{\text{total cards}}

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                                                            =\frac{1}{4}

Probability that first card is club and second card is club =P(A)\times P(B)

                                                                                             =\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}

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