Which of the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.70 and the number of successes out of 10 events is desired?
A Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 10 times, once for each event.
B Use a random number table consisting of the digits 1 through 8, with digits 1 through 5 representing successful and the remaining digits, 6 through 8, representing unsuccessful. Choose 10 digits, one for each event.
C Roll an eight-sided die. Let 1 through 6 represent a success and the values 7 and 8 indicate unsuccessful. Roll the die 10 times, once for each event.
D Count out 70 yellow beads and 30 pink beads. Select 10 of these beads at random out of a jar. Let a yellow bead represent successful and a pink bead represent unsuccessful.
The probabilty of getting a yellow bead from a pile of 70 yellow beads and 30 pink beads can be determined like this:
30 + 70 = 100, which represents the total amount of beads.
Now, to find the probabilty, we divide 70 by 100,
70 / 100 = 0.7, or 70%.
Since yellow beads are succesful, D is the correct answer!