Independent and Conditional Probability

A bucket contains 50 lottery balls numbered 1-50. One is drawn at random. Find P ( multiple of 6 I 2-digit number).

(Write your answer in simplest fraction form using "/" for the fraction.)

A bucket contains 50 lottery balls numbered 1-50. One is drawn at random. Find P ( at least 20 I prime number).

(Write your answer in simplest fraction form using "/" for the fraction.)

Moe rolls two dice. What is the probability the sum of the dice is 7, given that the first die is showing a 2?

Devin randomly chose a letter from the word supercalifragilisticexpialidocious. What is the probability that this letter is an "a", given that it is a vowel.

A card is randomly selected from a standard deck of playing cards. Find the probability that it is a face card, given that a black card is drawn.

A month of the year is randomly chosen. Find the probability that it has no more than 30 days, given that it starts with the letter A.

The wheel is spun.

Find P ( black I A )

The wheel is spun.

Find P ( C I white )

The wheel is spun.

Find P ( black I B or E )

(hint: "or" means add)

Out of 125 children at summer camp, 45 signed up for swimming and 38 signed up for arts and crafts. Twelve students who signed up for swimming also signed up for arts and crafts. If a camper is randomly selected, what is the probability that they are signed up for swimming, given that they did not sign up for arts and crafts?