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That is known as a simple random sample, or SRS.
Each member of the population has the same probability of being in the sample as any other. Equivalently, any set of members of the given sample size has the same probability of being selected as any other set.
Probability of picking a student is 800 / (800+50+150) = 800 / 1000 = .8.
Births are not distributed uniformly over days of the week: there are fewer births at weekends. However, if you do assume that the distribution is uniform, then the probability is 6!/76 = 5040/117649 = 0.0428
37 ÷ 5 = 7 remainder 2 → You can make 7 teams, but have 2 children left out. However, if you meant you have a pool of 37 children and need to make a team consisting of 5 children from that 37, then how many different teams (or groups) of 5 children you can make then: This is a combination as the order of selection doesn't matter, only which 5 children are chosen. Here you can make: 37 C 5 = 37!/((37-5)!5!) = (37 × 36 × 35 × 34 × 33)/(5 × 4 × 3 × 2 × 1) = 435,897 different teams
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That is known as a simple random sample, or SRS.
Each member of the population has the same probability of being in the sample as any other. Equivalently, any set of members of the given sample size has the same probability of being selected as any other set.
They are selected by the national supreme court.
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1/3160 The chances of you being the first one selected and then your friend the second are: (1/80)x(1/79)= 1/6320 (once your are selected there are only 79 students left - your friend among the 79) Likewise the chance of your friend being selected first and you second are also 1/6320 Since it doesn't matter which one of you gets chosen first the probability is the sum of those two probabilities, i.e. 2/6320 = 1/3160
3-7
The prob is 0.4095, approx.
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12
they ate a salad
Typically members of a board of accountancy are appointed by a state's governor and include both licensed CPAs and public members. The CPA members are often selected by the governor after consulting with the state's CPA society