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GENERAL RULE
A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or three) to arrive at the probability of events.
Example
Consider a bag containing 4 white and 5 black balls. A man draws 3 balls at random; let us see what is the probability that all three are black?
The total number of ways in which 3 balls can be drawn is 9C3and the number of ways of drawing 3 black balls is 5C3therefore the probability of drawing 3 black balls is given by
P(All three are black)
Ratio of successes in 5 independent trials to the probability of successes in two independent trials is 1/4. What is the probability of 4 successes in 6 independent trials?
John has a choice of using one of two parking garages when he visits downtown: Option1: $8 an hour for the first two hours, then $2 and hour for each hour more than 2; or Op
Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer. Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting
how do I change this ratio to a fraction
LARGE SAMPLES These are samples that have a sample size greater than 30(that is n>30) (a) Estimation of population mean Here we suppose that if we take a large sample
Arc Length - Applications of integrals In this part we are going to look at determining the arc length of a function. As it's sufficiently easy to derive the formulas that we'
problem set d, #7
(a) Convert z = - 2 - 2 i to polar form. (b) Find all the roots of the equation w 3 = - 2 - 2 i . Plot the solutions on an Argand diagram.
Comparison Test or Limit Comparison Test In the preceding section we saw how to relate a series to an improper integral to find out the convergence of a series. When the inte
Water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 km/h. How much area will it irrigate in 30 minutes if 8 cm of standing water is required for irrigation?
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