Sample Space Answers

A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain at least one 0. a. 000, 001, 010, 011, 100, 101, 110, 111; P(at least one 0) = b. 000, 001, 010, 100, 101, 110 ; P(at least one 0) = c. 100, 101, 110, 111; P(at least one 0) = d. 000, 001, 010, 011; P(at least one 0) = Please select the best answer from the choices provided

A fair coin is flipped three times. The sample space for this experiment is as follows: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} Which table represents the experiment and the probabilities for number of heads? Table A Number of Heads, x P(x) 0 1 2 3 Table B Number of Heads, x P(x) 3 2 1 0 Table C Number of Heads, x P(x) 3 2 1 0 Table D Number of Heads, x P(x) 0 1 2 3 a. Table A b. Table B c. Table C d. Table D Please select the best answer from the choices provided

You have four sweaters, five pairs of pants, and three pairs of shoes. How many different combinations can you make, wearing one of each? Explain your answer. a. b. c. d. Please select the best answer from the choices provided

If a random experiment consists of rolling a six-sided die 10 times, how many individual outcomes make up the sample space, and what is the probability of getting all sixes? a. There are possible outcomes, only one of which is all sixes, so the probability of getting all sixes is . b. There are possible outcomes, only one of which is all sixes, so the probability of getting all sixes is . c. There are possible outcomes, only one of which is all sixes, so the probability of getting all sixes is . d. There are possible outcomes, only one of which is all sixes, so the probability of getting all sixes is . Please select the best answer from the choices provided

Consider the following experiment: A card is picked at random from a standard deck of 52 cards. What is the sample space of the experiment? What is the probability of drawing a red card from the deck if 26 of the cards are red? a. 26 possible outcomes; P(red card) = b. 52 possible outcomes; P(red card) = c. 52 possible outcomes; P(red card) = d. 26 possible outcomes; P(red card) = Please select the best answer from the choices provided

In a single experiment, a die is tossed and a spinner with the letters A, B, and C is spun. Each letter is equally likely. Find the sample space and then find the probability of getting a 2 on the die and a B on the spinner. a. The sample space is 18. The probability of getting 2 and B is . b. The sample space is 9. The probability of getting 2 and B is . c. The sample space is 18. The probability of getting 2 and B is . d. The sample space is 9. The probability of getting 2 and B is . Please select the best answer from the choices provided

If a coin is flipped four times, find the probability distribution for the number of heads. Listed below are four charts. Choose the chart that best evaluates the data. Chart A x 0 1 2 3 4 P(x) Chart B x 1 2 3 4 P(x) Chart C x 0 1 2 3 4 P(x) Chart D x 0 1 2 3 4 P(x) a. Chart A c. Chart C b. Chart B d. Chart D Please select the best answer from the choices provided

In a single experiment, a die is tossed and a spinner with the letters A, B, and C is spun. Each letter is equally likely. Draw your sample space and then find the probability of getting a 2 or a B. a. The sample space is 9. The probability of getting a B is . b. The sample space is 18. The probability of getting a 2 or a B is . c. The sample space is 18. The probability of getting a 2 or a B is . d. The sample space is 9. The probability of getting a 2 or a B is . Please select the best answer from the choices provided

If you roll a die three times, how many different sequences are possible? a. b. c. d. Please select the best answer from the choices provided

Suppose you flip a penny and a dime. Use the following table to display all possible outcomes. penny dime head ? head ? tail ? tail ? If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin? a. P(1 head and 1 tail) b. P(1 head and 1 tail) c. P(1 head and 1 tail) d. P(1 head and 1 tail) Please select the best answer from the choices provided