StatisticsName:______
Unit 2- Supplementary Problems- Part 1
Date:______
Basics
1.The probability of selecting a boy from a class of children is 1/2. Five girls are then removed from the class. The probability of selecting a boy from the class isnow 3/5. How many boys are in the class?
Addition and Multiplication Rules
2.Two standard decks of 52 cards are shuffled together. Seven cards are drawn without replacement. What is the probability that all seven cards are red?
3.Five cards are dealt from a standard deck without replacement. What is the probability the five-card hand will consist of alldifferent cards?
4.Five cards are drawn from a standard deck without replacement. What is the probability that exactly 3 cards will have thesame value?
5.Three cards are drawn from a standard deck of 52 cards. Find the probability that all
cards drawn are:
a)Jacks
b)Face Cards
c)Prime Numbers
6.Four cards are drawn from a standard 52 card deck without replacement. Find the probability that each card is either a heart or a seven.
Complements and Conditional Probability
7.Professor Cann decides to give a test that consists of 100 multiple choice questions each with 4 choices. You take the test without studying. What is the probability that you get:
a)100% of the questions correct
b)100% of the questions incorrect
c)at least one question correct
d)at least one question incorrect
WeightRanges (in kg) of newborn babiesGender / 2.0 – 2.99 / 3.0 – 3.99 / 4.0 – 4.99 / 5.0 – 5.99 / 6.0 – 6.99 / Total
Male / 1 / 50 / 153 / 73 / 2 / 279
Female / 1 / 104 / 161 / 11 / 0 / 277
Total / 2 / 154 / 314 / 84 / 2 / 556
8.
a.?b.Are “Male” and “3.0 – 3.99” independent?
c.?d.Are “4.0-4.99” and “Female” independent?
Counting
9.10P510.16C4
11.Twenty-seven athletes are trying out for Coach Johnson’s basketball team. Coach must select 13 players from this group. How many 13-person teams can he possibly select from the twenty-seven athletes?
12.Dante’s Pizzeria offers ten possible toppings: pepperoni, sausage, mushroom, meatball, anchovies, ham, onion, pineapple, peanut butter, and chocolate fudge. What is the probability that a 3-topping combo will not consist of peanut butter?
13.A loaded coin [p(heads) = 5/6] is tossed 3 times. What is theprobability that the coin will land on tails at most once?
14.The probability of rain is said to be 45% over a 7-day period. What is the probability that it will rain exactly twice in the 7-day period?
15.The following image displays the chances of winning the New York State Mega Millions lottery. In the Mega Millions Lottery, you choose 5 values between 1 and 56 and then a Mega Ball between 1 and 46. Verify all the probabilities in the illustration below.
Example: Fourth Place: Get exactly 4 of 5 correct. Get Mega Ball incorrect.
Cases / Ball 1 / Ball 2 / Ball 3 / Ball 4 / Ball 5 / Mega Ball / Product1 / I / / C / / C / / C / / C / / I / /
2 / C / / I / / C / / C / / C / / I / /
3 / C / / C / / I / / C / / C / / I / /
4 / C / / C / / C / / I / / C / / I / /
5 / C / / C / / C / / C / / I / / I / /
Total /
16.Many license plates in New YorkState contain 3 letters followed by 4 single digits. How many license plates in New YorkState are possible
a.If repetition is allowed?
b.If repetition is not allowed?
17.How many seven-digit phone numbers are possible id they cannot begin with a 0 or a 1 AND if they can’t begin with 411 or 911?
18.How many arrangements of the letters in the word “Maui” are possible?
19.How many arrangements of the letters in the word “MIAMI” are possible?
20.11 Boys and 14 Girls are in a class together. What is the probability that if a 10-person were selected at random that the group would contain all girls or all boys?