For a class experiment, Hilda places different colored marbles in a bag. She pulls a marble at random from the bag, records its

Question

2 years ago

6

For a class experiment, Hilda places different colored marbles in a bag. She pulls a marble at random from the bag, records its

color, and then puts the marble back in the bag. She repeats this process 25 times. The overall results are shown in the table. Result Blue Red Yellow Orange Frequency 6 4 8 7 What is the experimental probability that Hilda pulled a red marble? Enter your answer in the box.

Mathematics

2 answers:

kicyunya [14] · Answer 1 · 2023-06-02T17:35:50+03:00

The experimental probability that Hilda pulled a red marble is 0.11752 or 11.752%.

<h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

For a class experiment, Hilda places different colored marbles in a bag. She pulls a marble at random from the bag, records its color, and then puts the marble back in the bag. She repeats this process 25 times.

The overall results are shown in the table.

Blue, Red, Yellow, Orange Frequency 6, 4, 8, 7 respectively.

P(red) will be 1/4 and P(not red) will be 3/4.

The number of trials (n) is 25.

Frequency of the red (r) = 4

Then the probability of getting red will be

$\rm P(red) = \ ^nC_r( P(red) )^r*( P(not\ red))^{n-r}\\\\P(red) = \ ^{25}C_4 * (\dfrac{1}{4})^4 * (\dfrac{3}{4})^{25-4}\\\\P(red) = 0.11752$