Question

A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. if a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow marble?

Answer 1

Step-by-step explanation:

डिटर्जेंट नॉटी आंसर प्लीज टेल मी

Answer 2

Given,

A glass jar contains 6 red, 5 green, 8 blue, and 3 yellow marbles.

To find,

If a single marble is chosen at random from the jar, then the probability of getting:

(a) a red marble

(b) a green marble

(c) a blue marble

(d) a yellow marble

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The probability of occurrence of a favorable event = P (favorable event)

= (Total number of occurrence of the favorable event) / (Total number of occurrence of all possible events)

= (Total number of occurrence of the favorable event) / (Total number of trials)

As per the given question;

Total number of marbles inside the glass jar

= (number of red marbles) + (number of green marbles) + (number of blue marbles) + (number of yellow marbles)

= 6+5+8+3 = 22 marbles

(a) As per the given question;

The favorable event is the occurrence of red marble

So, the frequency of occurrence of the favorable event, that is, a red marble = number of red marbles inside the jar = 6

And, the total number of trials = total number of marbles inside the jar = 22

Now,

The probability of getting a red marble

= P(getting a red marble)

= (frequency of occurrence of red marble)/(total number of trials)

= 6/22 = 3/11

=> P(getting a red marble) = 0.27

(b) As per the given question;

The favorable event is the occurrence of green marble

So, the frequency of occurrence of the favorable event, that is, a green marble = number of green marbles inside the jar = 5

And, the total number of trials = total number of marbles inside the jar = 22

Now,

The probability of getting a green marble

= P(getting a green marble)

= (frequency of occurrence of a green marble)/(total number of trials)

= 5/22 =

=> P(getting a green marble) = 0.227

(c) As per the given question;

The favorable event is the occurrence of blue marble

So, the frequency of occurrence of the favorable event, that is, a blue marble = number of blue marbles inside the jar = 8

And, the total number of trials = total number of marbles inside the jar = 22

Now,

The probability of getting a blue marble

= P(getting a blue marble)

= (frequency of occurrence of a blue marble)/(total number of trials)

= 8/22 = 4/11

=> P(getting a blue marble) = 0.36

(d) As per the given question;

The favorable event is the occurrence of yellow marble

So, the frequency of occurrence of the favorable event, that is, a yellow marble = number of yellow marbles inside the jar = 3

And, the total number of trials = total number of marbles inside the jar = 22

Now,

The probability of getting a yellow marble

= P(getting a yellow marble)

= (frequency of occurrence of a yellow marble)/(total number of trials)

= 3/22

=> P(getting a yellow marble) = 0.136

Hence, the probability of getting a red, green, blue, and yellow marble is 0.27, 0.227, 0.36, and 0.136, respectively.