Probability test 1

Jerry knows how to play six chords on a guitar: A, C, D, E, F, and G. He makes up exactly one song for every three chords he knows how to play. For example, the chords A, E, and F are only used in one song together. How many songs did Jerry make up?

A password is made up of two letters followed by two single-digit numbers. If a person is assigned a password at random, what is the probability, rounded to the nearest hundredth, that the password uses only even digits for the numbers?

60 blue marbles and 40 red marbles are in a jar. How many red marbles must be removed from the jar so that the probability of choosing a blue marble from the jar is 3/4?

How many positive 4-digit numbers are there with an even digit in the hundreds position and an odd digit in the tens position?

John buys a cake at a bakery and a hammer at a hardware store. If there are five hardware stores and three bakeries, in how many different combinations of stores can he purchase the cake and the hammer?

he figure below consists of two congruent semicircles on either end of a square. What is the probability, rounded to the nearest hundredth, that a point in the region chosen at random is not in the shaded area?

There are 15 students on the Prom Committee and 20 students on the Yearbook Committee. If 10 students are on both committees, how many students are on only one committee?

There are 10 orange sodas, 15 cream sodas, and 7 cherry sodas in an ice chest. How many sodas must be removed from the ice chest to guarantee that one of each type of soda has been chosen?

How many 5-digit numerals have 9 as the first digit, 3 or 6 as the third digit, and no digit repeated?

Someone writes a five digit numeral that reads the same from left to right as right to left (a palindrome). How many 5-digit palindromes are there?

A jar contains 10 blue, 8 green, and 6 red marbles. Every time a marble is removed from the jar, it is not replaced. What is the probability, to the nearest hundredth, that the second marble chosen is green if the first marble chosen is green?

Five people, all different ages, are arranged in a row so that the oldest person is in the middle and the two youngest people are on the ends. How many different arrangements of this type exist?

A teacher gives stickers to students as a reward for good work. The stickers are on a long strip and repeat in a regular order: Balloon, Happy Face, Clown Face, and Spaceship. What are the 63rd and 65th stickers handed out by the teacher?

Seventy people are seated at a dinner party. Each table at the party can seat eight people. What is the minimum number of tables needed for the party?

Frank scored 26 points in a basketball game. All of his points came from either a two-point or threepoint basket. If Frank scored at least one three-point basket, what is the maximum number of two-point baskets that Frank could have scored?

Blaire, Chad, Erin, and Jordan randomly arranged in four seats at the front row of the classroom. What is the probability that Chad and Blaire are sitting next to each other?

Using the diagram below, how many different ways can you get from point A to point C and then back to point A?

A dart is thrown randomly at the target below. The radius of the innermost circle is 2, and the radius of each circle doubles as the circles get bigger. What is the probability the dart will hit the shaded region, to the nearest hundredth of a percentage?

A certain communication system is made up of 40 symbols. A maximum of two symbols placed together, order not mattering, make up a word. What is the maximum number of words in this communication system?

X = {−4,−2,1,3} Y = {−1,4,5}. If x is a number from set X, and y is a number from set Y. The probability that x + y is positive is closest to

Probability test 1

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