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题目内容
A telephone system has $$n$$ telephone lines. For each of the $$n$$ lines, the event that the line will fail during a certain reliability test has probability $$0.3$$, and these $$n$$ events are independent. If the probability that at least one of the $$n$$ lines will not fail during the reliability test is greater than $$0.99$$, what is the minimum value of $$n$$?
What is the probability of selecting different colors when selecting 2 balls out of a box of 10 red balls and 6 blue balls without replacement?
Give your answer as a fraction.
In a box of 10 balls, 4 are red while 6 are blue. What is the probability that all the 3 balls are red when randomly selecting 3 balls out of the box without replacement?
Give your answer as a fraction.
There are only identical number of red and green balls in a box. A person first randomly selects a ball from the box without replacement, and continues to select another ball. Which of the following probability is 1/2?
Indicate all that are true.
The probability that a component fails during first use is 0.1.

If the component doesn`t fail during first use, then the probability that the component will not fail in the following six months is 0.8.

Quantity A

The probability that the component will not fail within six months

Quantity B

0.75
The prizes for a certain contest are in 5 sealed envelopes: 2 containing cash and the other 3 containing gift certificates. If 2 envelopes are to be randomly selected from the 5 envelopes, one at a time without replacement, what is the probability that at least one of the envelopes selected will contain a cash prize?
Give your answer as a fraction.
Two balls are to be randomly selected from a bag, one at a time and without replacement. The probability that the first ball selected will be red is $$\frac{5}{8}$$. If the first ball selected is not red, the probability that the second ball selected will be red is $$\frac{2}{3}$$. What is the probability that the first or the second ball selected will be red?

Give your answer as a fraction.
Two balls are to be randomly selected from a bag, one at a time and without replacement. The probability that the first ball selected will be red is $$\frac{5}{8}$$. If the first ball selected is not red, the probability that the second ball selected will be red is $$\frac{2}{3}$$. What is the probability that the first or the second ball selected will be red (that is, one red ball either in the first attempt, or in the second attempt, but not both)?

Give your answer as a $$\underline{fraction}$$.
During each run of a computer simulation, either the letter X or the letter Y is displayed. For each run of the simulation, if the letter X is displayed, then the probability that X will be displayed in the next run is 0.3. Also for each run of the simulation, if the letter Y is displayed, then the probability that Y will be displayed in the next run is 0.4.

In 7 consecutive runs of the simulation, if X is displayed in the 5th run, what is the probability that X will be displayed in the 7th run?
For a certain probability experiment, the probability that event A will occur is $$\frac{1}{2}$$ and the probability that event B will occur is $$\frac{1}{3}$$. Which of the following values could be the probability that the event A∪B (that is, the event A or B, or both) will occur?
Indicate all such values.
The probability that Event A occurs is 0.63, while the probability that Event B occurs is 0.58. What is the greatest probability that Event A and B both occurs?
Give your answer as a decimal.
The probability that Event A occurs is 0.45. What is the greatest possibility that Event A and Event B both occurs?
Give your answer as a decimal.
The probability that Event A occurs is 0.7, The probability that Event B occurs is 0.4. Which of the following could be the probability that Event A and B both occurs?
Indicate all such probabilities.
The probability that Event A occurs is 0.5, while the probability that Event B occurs is 0.3. What is the maximum possibility that both events do not occur?
If 125w + 25x + 5y + z = 264, and w, x, y and z are integers no less than 0 and no greater than 5, then the sum of w, x, y and z could be?
Indicate all such values
If password TUKK is re-arranged, what is the probability that the password is re-arranged into the exact same as before?
Give your answer as a fraction.
The positive integer x is 7 greater than a multiple of 13, and 2512 < $$x^{2}$$ < 3596

Quantity A: x

Quantity B: 55


AB=12, AC=30, and AD=$$\frac{2}{5}$$ AC

Quantity A: The measure of angle BDC

Quantity B: 120
q, r and s are consecutive positive integers and q < r < s.

Quantity A:$$\frac{qs}{r}$$

Quantity B:r - $$\frac{1}{r}$$

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