Consider an experiment in which someone flips a fair coin. If the coin lands heads-up, then a 6-sided die is rolled and the the number that is rolled is recorded. If the coin lands tails-up, then the die is not rolled and the experiment ends. Write down the sample space for this experiment. What is the probability that a “5" is rolled during the experiment?

A shipment of 40 inexpensive digital watches, including 9 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected? The probability the shipment will be rejected is (Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)

an experiment consists of drawing 5 cards from a standard 52-card deck. what is the probability of drawing the following? 5 numbered cards 2 hearts and 3 club cards 5 black or 5 clubs 5 hearts or 5 numbered cards

Match the sample space for compound events based on a psychology study. The first card shown is a person or an object. The second 1. card shown is red, green, or blue. sample space of size 10 The first card shown is a person or an object. The second 2. sample space of size 4 card shown is red, green, black, or blue. The first card shown is red or green. The second card shown 3. is a person or an object. sample space of size 8 The first card shown is red, green, black, blue, or yellow. The 4. second card shown is a person or an object. sample space of size 6

Mai chooses a letter at random from the word DREAM, then flips a fair coin. 1. Write all the possible outcomes in the sample space. 2. What is the probability that Mai chooses the letter D and the coin lands on tails?

A three dice is a six sided dice with only the numbers 1,2 and 3 . The usual numbers 4,5 and 6 are replaced by 1,2 and 3 respectively . 4 three-dice (with sides labeled 1,2 and 3) are rolled and the numbers face up on the 4 dice recorded . Give the sample space for this experiment . What is the probability that at least one of the dice rolled is showing a 2? What is the probability that at least one of the dice rolled is showing at 3 ?