PS-1
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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When arranging 3 markers RBG, how are they independent events? | 1st marker can be chosen in 3 ways. Because of the reduction of markers, the choice for 2nd marker is down to 2.But we arent forced to pick G marker if 1st marker was R. Thus they are independent.
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What does the term 'Ask for independence' mean to you? | In order to apply the multiplication principle in a arrangement problem, the individual events must be independent of each other.
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What are the possible sums when a pair of dice is rolled? | The sums are distributed normally with a peak of 7, which occurs 6 times.2=1, 3=2...7=6, 8=5, 9=4...12=1
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Probability of A and B P(A and B) = P(A) × P(B). What can you infer about P(A and B)? | A and B: the probability < than the individual probabilities of either A or B. This is because probability of any event is <=1.
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Probability of A or B, P(A or B) = P(A) + P(B). What can you infer about the P(A or B)? | A or B must occur: the probability > the individual probabilities of either A or B. This is an excellent strategy for eliminating certain answer choices
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If A and B are not independent, then the probability of A and B is P(A and B) = ? | P(A) × P(B|A)where P(B|A) is the conditional probability of B given A
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Concerning probability, give examples of independent and dependent events. | Separate drawings from a deck of cards are independent events if you put the cards back. An example of a dependent event, one in which the probability of the second event is affected by the first, is drawing a card from a deck but not returning it.
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What are the 3 methods to determine probability? | 1) Favorable outcomes/ All possible outcomes2) Via formulas: P(A and B), P(A or B). These are used when the events could be independent, dependent or mutually exclusive.3) Multiply individual probabilities of events
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What is P(A or B) if A and B are mutually exclusive? What if they are not mutually exclusive? | If exclusive, then P(A) + P(B). If not then P(A) + P(B) - P(A and B).
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What is the multiplication principle in counting methods? | Total no of outcomes of independent events=product of possible outcomes of each event individually
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What is POCNO? | Permutation Order Combination No Order
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What are the values of NPN and NCN respectively? | NPN=N!, NCN=1
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In P&C, arrangement means? What do choosing/selection convey? | Arrangement=P, Selection/Choosing=C
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Sum and difference of two 2-digit numbers with interchanged digits are divisible? | Sum by 11; difference by 9
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How do you express a 2 digit number pq? | 10p + q
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For same distance, if speed increases by 50%, time decreases by 33.33%? | Yes. For 25% increase, the decrease is 20%. Remember that these are increase/decrease percentages. So you will have to add/subtract from original figures to get new figures.
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Even/odd = ? | Even. Its same as mutiplying Even * 1/Odd; hence even.
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What are the units digits of 13^4,17^2, and 29^3? | 13^4 = 1 since 3*3*3*3=81.17^2 = 9 since 7*7=49. 29^3=9 since 9*9*9=729. Also units digit of 13^4*17^2*29^3=1 since 1*9*9=81
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Formula for compound interest? | F = P (1 + r/n)^nt where F = Final amount, P= Principal, r=annual interest rate expressed as 0.08 for 8%,n=number of compounding periods per year,t=number of years
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In problems involving fractions, it is best to pick which numbers? | In problems involving fractions, it is best to pick numbers that are multiples of the denominators
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How to find the sum of a sequence of equally spaced numbers? | The solution can be found more efficiently by identifying the median of the set and multiplying by the number of terms
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What is the area of a trapezium? | The area of a trapezoid is equal to the product of the height times the average of the two bases
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If I think I can solve the problem by solving, should I? | Yes. With my fast calculations ability, I will be able to get the answer within 2 minutes.
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Should I be using the Plug-in technique more often? | Yes. I have not been employing it frequently enough.
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Only numbers ending in 3 or 7 yield a square ending in 9? | True
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What should you check when you calculate an answer that is not listed in the options? | Check if I have used the correct numbers from the problem. Very often, I misread a number thus calculating a wrong answer
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What concept should I think of in a problem of arithmetic mean (average)? | If average is given, think of the numbers in the set as + and - from the average. They should add up to zero.
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Created by:
deepak.bhavi
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