Search results
Single Maths B Probability & Statistics: Exercises & Solutions 1. QUESTION: Describe the sample space and all 16 events for a trial in which two coins are thrown and each shows either a head or a tail. SOLUTION: The sample space is S = {hh, ht, th, tt}. As this has 4 elements there are 24 = 16 subsets, namely
- 139KB
- 15
- Example (10)
- Example (11)
- Example (15):
box contains eight red balls and five white balls, two balls are drawn at random, find: The probability of getting both the balls white, when the first ball drawn is replace. The probability of getting both the balls red, when the first ball drawn is replace The probability of getting one of the balls red, when the first drawn ball is replaced back...
box contains seven blue balls and five red balls, two balls are drawn at random without replacement, find: The probability that both balls are blue. The probability that both balls are red. The probability that one of the balls is blue. The probability that at least one of the balls is blue. The probability that at most one of the balls is blue.
A committee consists of four women and three men. The committee will randomly select two people to attend a conference in Hawaii. Find the probability that both are women.
Creating a table can help you solve probability problems. You are to choose one of the cards at right without looking. Consider the probability of three outcomes: 1) choosing a vowel,
- 1MB
- 59
(a) Write down the probability that Theo picks a red sweet. (b) Write down the probability that Theo picks a white sweet. Question 2: Leah has 12 cards, each with a shape on it. She takes a card at random. (a) What is the probability that Leah takes a card with a star on it?
Solutions to the Probability Problems 1: The digits 1;2; ;9 are written on each of 9 cards. Four cards are drawn at random, without replacement, and the cards are arranged in the order in which they were drawn to form a four-digit number. Find the probability that the number is a multiple of 99.
Example 7 Find the probability that in 10 throws of a fair die a score which is a multiple of 3 will be obtained in at least 8 of the throws. Solution Here success is a score which is a multiple of 3 i.e., 3 or 6.
People also ask
How do you solve probability problems?
What is the probability distribution of 10 10 10 100 100 10?
How do you find the probability that B is selected?
How do you find the probability of an event?
What is the probability distribution of a random variable?
What is the probability of a number greater than 10?
Practice Problems in Probability Easy and Medium Di culty Problems Problem 1. Suppose we ip a fair coin once and observe either T for \tails" or H for \heads." Let X 1 denote the random variable that equals 0 when we observe tails and equals 1 when we observe heads. (This is called a Bernoulli random variable.) (a)Make a table of the PDF of X
