Two cards are drawn from a deck of 52 cards, with replacement. (This means that one person chooses a card, looks at it, and returns it, and then another person chooses a card, looks at it, and returns it.) Find the probability that: a. The first card is an ace and the second card is black. b. Both cards are spades. c. Neither card has a value from 2,3,4,5 d. At least one card is an ace. e. If the two cards are drawn without replacement (i.e., first card drawn out is not put back before drawing second card), find the probabilities of that both cards are spades.
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.
Two cards are drawn from a deck of 52 cards, with replacement. (This means that one person chooses a card, looks at it, and returns it, and then another person chooses a card, looks at it, and returns it.) Find the probability that:
a. The first card is an ace and the second card is black.
b. Both cards are spades.
c. Neither card has a value from 2,3,4,5
d. At least one card is an ace.
e. If the two cards are drawn without replacement (i.e., first card drawn out is not put back before drawing second card), find the probabilities of that both cards are spades.
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