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The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee's report, what is the probability that the two members selected will both be English teachers?
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Which of the following ratios is most nearly equal to the ratio $$1 +\sqrt{5}$$ to 2?
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排列组合
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A coin that is tossed will land heads or tails, and each outcome has equal probability. What is the probability that the coin will land heads at least once on two tosses?
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A gumball dispenser has 24 gumballs, 12 white and 12 black, which are dispensed at random. If the first 3 gumballs dispensed are black, what is the probability that the next gumball dispensed will be black?
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$$\sqrt{\frac{1}{36}+\frac{1}{64}}=$$
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PREP07 Test 2
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If x is an even integer and y is an odd integer, which of the following is even?
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Manhattan
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A box contains one dozen donuts. Four of the donuts are chocolate, four are glazed, and four are jelly. If two donuts are randomly selected from the box, one after the other, what is the probability that both will be jelly donuts?
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Manhattan
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A circus clown is entertaining kids by making balloon animals. The clown can make any one the following animals: giraffe, dog, elephant, or monkey. The clown has five colors of balloons to choose from: red, yellow, blue, green, and purple. If the clown is just as likely to make any one of the animals and choose any one color, what is the probability that the clown will make a purple elephant?
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OG18-数学分册
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A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?
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OG19-数学分册
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If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
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OG19-数学分册
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A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?
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OG21 OG2022
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The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs.No recorded program was viewed more than once.If h is the number of hours of recorded programs she had not yet viewed by the end of Friday,which of the following intervals represents all of the possible values of h?
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Magoosh
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Pump A can empty a pool in A minutes, and pump B can empty the same pool in B minutes. Pump A begins emptying the pool for 1 minute before pump B joins. Beginning from the time pump A starts, how many minutes will it take to empty the pool?
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OG12 OG15 OG16 OG17 OG18
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$$\frac{1}{(0.75-1)}=$$
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OG19-数学分册
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If m is an even integer, v is an odd integer, and m > v > 0, which of the following represents the number of even integers less than m and greater than v ?
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If $$N = \frac{1}{3} + \frac{1}{(3^2) }+ \frac{1}{(3^3)}$$, then N is between
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190321
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Is x odd?
1: x is an integer.
2: (x+1)(x-1) is even.
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191222
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f(x)=ax+b，a and b are both positive, what is the value of f(1)?
(1)f[f(x)]=4x+5
(2)f[f(1)]=-1
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OG12 OG15
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If $${p}_{1}$$ and $${p}_{2}$$ are the populations and $${r}_{1}$$ and $${r}_{2}$$ are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?(1)$${p}_{1} >{p}_{2}$$(2)$${r}_{2} >{r}_{1}$$
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190113
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If f(x)=f(1-x), f(1+x)=?
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