A fair die is rolled three times. What is the probability that it comes up 6 at least once? Write your answer in fraction and in simplest form or round the answer to three decimal places.

In a certain high school, the probability that a student drops out is 0.1, and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.25. What is the probability that a randomly selected student gets a GED?

A committee of ten people must choose a president, a vice president, and a secretary. In how many ways can this be done?

A caterer offers 24 different types of dessert. In how many ways can 5 of them be chosen for a banquet if the order doesn't matter?

At the campus cafeteria, a diner can purchase a "meal deal" that consists of an entrée, a side dish, and a dessert. There are 4 choices for the entrée, 6 choices for the side dish, and 6 choices for dessert. How many different meal deals are possible?

A committee consists of 10 women and 7 men. Three members are chosen as officers. What is the probability that all three officers are women? Round your answer to 4 decimal places.

Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are called bases. A codon is a sequence of three bases. Replicates are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different amino acid to be included in a protein. How many different codons are there?

Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are called bases. A codon is a sequence of three bases. Replicates are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different amino acid to be included in a protein. How many different codons are there in which all three bases are different?

Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are called bases. A codon is a sequence of three bases. Replicates are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different amino acid to be included in a protein. The bases A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which the third base is a purine and the others are pyrimidines?

Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are called bases. A codon is a sequence of three bases. Replicates are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different amino acid to be included in a protein. What is the probability that all three bases are different? Write your answer in decimal form.

Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are called bases. A codon is a sequence of three bases. Replicates are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different amino acid to be included in a protein. What is the probability that the third base is a purine and the others are pyrimidines? Write your answer in decimal form.