An experiment consists of dealing 8 cards from a standard 52- card deck. What is the probability of being dealt 8 hearts? Solution:- P(E) = Let the sample…
Month: May 2015
Problem 744
In a family with 9 children, excluding multiple births, what is the probability of having 8 boys and 1 girl, in any order? As assume that a boy is as…
Problem 743
In a family with 8 children, excluding multiple births, what is the probability of having 8 girls? Assume that a girl is as likely as a boy at each birth.…
Problem 742
An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing an 8? Solution:- A standard deck of 52 cards has…
Problem 741
Find the sum of the first 20 terms of the sequence: -1, 1, -1, 1, -1, … Solution:- Find an by using the explicit formula for geometric sequences: an…
Problem 740
Write the geometric sequence that has four geometric means between 1and 1,024. Solution:- an and a1 are given. Find the common ratio by using the explicit formula for geometric…
Problem 739
Find the next term of the sequence: -600, 300, -150, … Solution:- Find the common ratio and multiply the previous term by that value. 75
Problem 738
Find the sum of the first 25 terms of the arithmetic series: -5, -4, -3, -2, -1, … Solution:- Find an by using the explicit formula for arithmetic sequences: an…
Problem 737
Find the sum of the first five terms of the arithmetic series: an = 2n +2. Solution:- Find a1 and a5 and use the formula for the sum of an…
Problem 736
Find the 100th term of the sequence: -4, -2, 0, 2, …. Solution:- Find the common difference and use the explicit formula for arithmetic sequences: . an = a1 +…
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