3.1.13 Probability and Odds

Usually these problems involve applying the definitions of Odds and Probability which are:

Probability=Desired OutcomesTotal Outcomes\text{Probability} = \frac{\text{Desired Outcomes}}{\text{Total Outcomes}} Odds=Desired OutcomesUndesirable Outcomes\text{Odds} = \frac{\text{Desired Outcomes}}{\text{Undesirable Outcomes}}

So the probability of rolling snake-eyes on a dice would be 1/361/36 while the odds of doing this would be 1/351/35. Usually the problems involving odds and probability on Number Sense tests are relatively simple where desired outcomes can be computed by counting. The following are some practice problems so you can be familiar with the types of problems asked:

Problem Set 3.1.13

The odds of drawing a king from a 52-card deck is
If 2 dice are tossed, what is the probability of getting a sum of 11
A bag has a 3 red, 6 white, and 9 blue marbles. What is the probability of drawing a red one
Three coins are tossed. Find the odds of getting 3 tails
The odds of losing are 4-to-9. The probability of winning is
The probability of winning is 5/95/9. The odds of losing is
The odds of losing is 7/137/13. The probability of winning is
If three dice are tossed once, what is the probability of getting three 5’s
If all of the letters in the words ”NUMBER SENSE” are put in a box, what are the odds of drawing an ’E’
The probability of success if 8/178/17. The odds of failure is
If all of the letters in the words ”STATE MEET” were put in a box, what is the probability of drawing an ’E’
A pair of dice is thrown, the odds that the sum is a multiple of 5 is
The probability of losing is 44 4/9%. The odds of winning is
The odds of winning the game is 3 to 5. The probability of losing the game is
A number is drawn from {1, 2, 3, 6, 18}. The probability that the number drawn is not a prime number is
The odds of drawing a red 7 from a standard 52-card deck is
A number is randomly drawn from the set {1, 2, 3, 4, 5, 6, 7, 8, 9}. What are the odds that the number drawn is odd
A number is drawn from the set {1, 2, 3, 4, 5}. What is the probability that the number drawn is a factor of 6
The odds of randomly drawing a prime number from the set {1, 2, 3, 4, 5} is
When two dice are tossed, the probability that the sum of the faces will be 3 is
A pair of dice is thrown. The probability that their sum is 7 is
A pair of dice is thrown. The odds that their sum is 7 is
A pair of dice is thrown. The odds that the sum is 6 or 8 is
Two dice are tossed. What is the probability the sum is a multiple of 4
Two dice are tossed. What is the probability the sum is a multiple of 5
A die is rolled. What is the probability that a multiple of 2 is shown
A die is rolled. What is the probability that a composite number is rolled
A die is rolled. What is the probability that a factor of 12 is shown
The probability of losing is 4-to-7. What are the odds of winning
A pair of dice are rolled. What are the odds that the same number is shown