Discrete Math

There are 200 birds in a zoo. 70 birds are male with brown eyes and 100 birds are female with brown eyes. 20 of the birds are male with blue eyes and 10 birds are female with blue eyes.

If a bird is selected at random, what is the probability that the bird is a female?

What is the probability of selecting a bird that is a male with brown eyes?

What is the probability that the bird is female given that it has brown eyes?

What is the probability that the bird is male given that it has blue eyes?

What is the probability that the bird is a creature with blue eyes given that it's a female?

Solve the linear congruence: $2x \equiv 13 \mod 7$ after dividing both sides by 2.

Solve the linear congruence: $5x \equiv 3 \mod 29$ and provide the solution in a positive form less than 29.

Solve the linear congruence: $3x \equiv 14 \mod 2$ and find all solutions in the least residue system.

Solve the linear congruence: $2x \equiv 5 \mod 7$ and find all three solutions using the parametric form.

Solve the linear congruence equation $4x \equiv 8 \pmod{5}$

$4x \equiv 2 \, \pmod{5}$

$4x \equiv 3 \pmod{5}$

Given the conditional statement "If I am hungry, then I will eat pizza," write the converse, the inverse, and the contrapositive of the statement.

How many different outfits can Mike have with two pants, three shirts, and two pairs of boots?

How many different telephone numbers are possible in the U.S if the three-digit area code followed by the seven-digit local telephone number cannot begin with a 0 or 1?

A multiple choice quiz has four questions each with five answer choices. In how many ways can you answer the questions?

Given a set A containing numbers 1 through 6, select three objects in an ordered sequence without repetition.

How many ways can this be done?

Given a set A containing numbers 1 through 6, select three objects with repetition allowed. How many ways can this be done?

From a set A containing numbers 1 through 6, determine how many unordered sequences of three objects can be selected without repetition.

From a set A containing numbers 1 through 6, determine how many sequences of three objects can be selected with repetition and unordered.