3) Roll a fair die repeatedly; X represents the number of rolls it takes to get a six. X is binomial with n= Answer and p= Answer 4) Draw 3 cards at random, one after the other, without replacement, from a set of 4 cards consisting of one club, one diamond, one heart, and one spade; X represents the number of diamonds selected. X is binomial with n= Answer and p= Answer 5) Draw 3 cards at random, one after the other, with replacement, from a set of 4 cards consisting of 1 club, one diamond, one heart, and one spade; X represents the number of diamonds selected. X is binomial with n= Answer and p= Answer
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
3)
Roll a fair die repeatedly; X represents the number of rolls it takes to get a six.
X is binomial with n= Answer and p= Answer
4)
Draw 3 cards at random, one after the other, without replacement, from a set of 4 cards consisting of one club, one diamond, one heart, and one spade; X represents the number of diamonds selected.
X is binomial with n= Answer and p= Answer
5)
Draw 3 cards at random, one after the other, with replacement, from a set of 4 cards consisting of 1 club, one diamond, one heart, and one spade; X represents the number of diamonds selected.
X is binomial with n= Answer and p= Answer
6)
Approximately 1 in every 20 children has a certain disease. 100 children are chosen at random; X represents the number of children with the disease
X is binomial with n= Answer and p= Answer
7)
The probability of having blood type B is 0.1. Choose 4 people at random; X represents the number of people with blood type B.
X is binomial with n= Answer and p= Answer
8)
A student answers 10 quiz questions completely at random. The first five are true false and the second five are multiple choice with 4 options for each; X represents the number of correct answers.
X is binomial with n= Answer and p= Answer
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