Question

Sam was given a bag of 100 red and blue marbles. He believes

that half of the marbles are red. To test his hypothesis, Sam
draws a marble from the bag without looking, records its color,
and then returns it to the bag. He repeats this process 49 times.
If Sam picks 35 blue and 15 red marbles, which conclusion is
accurate?
Select one
The number of red and blue marbles is probably the same.
O
There are probably only 15 red marbles in the bag.
O
There are probably more red marbles than blue marbles in the bag.
O
There are probably more blue marbles than red marbles in the bag.

Answer 1

(D) There are probably more blue marbles than red marbles in the bag.

Explanation:

There are a total of 100 marbles in the bag.

In the experiment of 50 trials, Sam had the following outcome:

Blue=35

Red=15

Relative Frequency of Blue Marbles =35/50=0.7

Relative Frequency of Red Marbles =15/50=0.3

Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, there are probably more blue marbles than red marbles in the bag.

The correct option is D.