Suppose your top drawer contains 44 different colored socks: 6 are white, 16 are black, 10 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction. (a) What is the probability that you get a blue pair of socks? (b) What is the probability that you do not get a blue pair of socks? (c) What is the probability that neither is blue? (d) What is the probability that you get either a white pair or a blue pair of socks? (e) What is the probability that you get one black sock and one white sock?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Suppose your top drawer contains 44 different colored socks:
6 are white,
16 are black,
10 are pink, and
12 are blue.
All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction.
(a) What is the
(b) What is the probability that you do not get a blue pair of socks?
(c) What is the probability that neither is blue?
(d) What is the probability that you get either a white pair or a blue pair of socks?
(e) What is the probability that you get one black sock and one white sock?
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