Question

An experiment is conducted with a bag of marbles containing 5 red and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table. Outcome Frequency Red, Red 19 Red, Blue 32 Blue, Blue 21 Blue, Red 28 Find P(no blue). 5 over 100 19 over 100 25 over 100 75 over 100

Answer 1

The probability of selecting no blue marbles is 25/100.

Step-by-step explanation:

To find the probability of selecting no blue marbles, we need to find the probability of selecting two red marbles in both trials.

From the table, the frequency of selecting Red, Red is 19.

Since the experiment involves replacing the marble after each draw, the probability of selecting a red marble in each trial is 5/7.

To find the probability of both trials resulting in a red marble, we multiply the probabilities together: (5/7) x (5/7) = 25/49.

Therefore, the probability of selecting no blue marbles is 25/100.