An experiments consists of tossing 4 coins successively. The number of sample points in this experiment is
a. 16
b. 8
c. 4
d. 2
Please show work and why it is the answer!
Thank you!
a. 16
Work: The number of sample points in this experiment is equal to the number of possible outcomes. Since there are 4 coins, each coin can have two possible outcomes (heads or tails). Therefore, the total number of possible outcomes is 2^4 = 16.
To find the number of sample points in this experiment, we need to consider the possible outcomes for each coin toss and then multiply them together.
For each coin toss, there are 2 possible outcomes: heads or tails. Since we are tossing 4 coins successively, we need to multiply the number of outcomes for each coin toss together.
So, the number of sample points is 2 * 2 * 2 * 2 = 16
Therefore, the correct answer is (a) 16, as there are 16 possible outcomes in this experiment.
To determine the number of sample points in an experiment, we need to consider all the possible outcomes for each coin toss.
For each coin toss, there are 2 possible outcomes: either it lands on heads or tails. Since there are 4 coin tosses in this experiment, the total number of possible outcomes is the product of the possible outcomes for each toss: 2 * 2 * 2 * 2 = 16.
Therefore, the correct answer is a. 16.