Math 112 Probability Worksheet

Math 111 Probability Worksheet

1. Which of the following events are independent? Dependent? a) Throwing a 4 with one die and a 6 with another. b) Picking a 7 from a deck of cards, keeping it, and picking a jack. c) Flipping a tail with a coin and rolling a 4 with a die. d) Drawing a spade and drawing a heart from the same deck without replacing the first card. e) Picking two black marbles from a bag of black and white marbles after replacing the first one.

2. How many 4 digit even numbers is there that are divisible by 5?

3. The final score at the end of a hockey game is 6-4. Suppose you looked at the score clock at some time in the second period. How many different scores would be possible?

4. Two letters are chosen, without replacement, at random from the English alphabet. If y is considered to be a consonant, find the probability that a) both are vowels, b) both are consonants.

5. A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn. Find the probability that a) both marbles are red b) both marbles are blue c) the first marble is red and the second is blue d) one marble is red and the other is blue e) neither is red f) do a-e again and do not replace the marble

6. What is the probability of throwing two 7’s in a row with a pair of dice?

7. What is the probability of drawing a spade twice in a row from a deck of cards if: a) the first card is replaced b) the first card is not replaced

8. A box has 3 hockey and 6 football cards. a) What is the probability of selecting a hockey card, keeping it out, and then selecting another hockey card? b) What is the probability of selecting a hockey card, keeping it out, and then selecting a football card?

9. A player rolls a pair of dice and then picks a card from a deck of cards. What is the probability of throwing a 10 and picking a club?

10. Joe makes his own deck of cards. He makes 24 cards of equal size. On ten of them he writes the digits 0 to 9. On two cards, he draws an equilateral triangle, on three he draws rectangles, on three he draws squares, on four he draws parallelograms, and the rest have circles. What is the probability of choosing, at random two cards (without replacement) with… a) a number and a geometric figure? b) a number on each? c) a triangle and a circle? d) a figure with parallel sides and an even number? e) a figure without a right angle and a square?

11. A card is chosen from a deck of 52. Find… a) P(a 4 or a diamond) b) P(a red card or a queen) c) P(a picture card or a club) d) P(a black card or a card with a number)

12. Olga places 10 squares, 10 triangles, and 10 rectangles in a hat. On each is placed on of the numbers 0,1,2,…,9. Calculate each of the following. a) P(square or a shape with an 8) b) P(triangle or a shape with a 6) c) P(rectangle or a shape with a 4) d) P(rectangle or a shape with an even number) e) P(square or a shape with an odd number) f) P(any shape or any shape with a number on it)

13. The cooler in a grocery store contains the following:

Product Small Medium Large Pepsi 28 32 17 Coke 20 28 20 Orange 18 19 13

Find the probability of taking: a) a small bottle or a Pepsi. b) a large bottle or a Coke. c) a medium bottle or an Orange