Question

There are 3 red pens, 4 blue pens, 2 Blac pens, and 5 green pens in drawer, suppose you choose a pen at random

Answer 1

Answer:

1. 3/14

2. 2/7

3. 1/7

4. 5/14

5. 11/14

6. 9/14

Step-by-step explanation:

first get the total number of pens

3 red pens + 4 blue pens + 2 black pens + 5 green pens =

14 total number of pens

1. What is the probability that the pen chosen red?

3 red pens out of a total of 14 pens = 3/14

2. What is the probability that the pen chosen is blue?

4 blue pens out of a total of 14 pens = 4/14 -> simplified -> 2/7

3. What is the probability that the pen chosen is black?

2 black pens out of a total of 14 pens = 2/14 -> simplified -> 1/7

4. What is the probability that the pen chosen is green?

5 green pens out of a total of 14 pens = 5/14

5. What is the probability that the pen chosen is NOT red?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

4 blue pens, 2 black pens and 5 green pens are NOT red

4 blue pens + 2 black pens + 5 green pens =

11 total number of pens that are NOT red

11 total number of pens that are NOT red out of a total of 14 pens = 11/14

6. What is the probability that the pen chosen is NOT green?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

the 3 red pens, 4 blue pens, 2 black pens are NOT green

3 red pens + 4 blue pens + 2 black pens =

9 total number of pens that are NOT green

9 total number of pens that are NOT green out of a total of 14 pens = 9/14

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Answer 2

Given :-

• Red pens = 3
• Blue pens = 4
• Black pens = 2
• Green pens = 5

>> Total no. of outcomes = 3 + 4 + 2 + 5

>> Total no. of outcomes = 3 + 4 + 7

>> Total no. of outcomes = 10 + 4

>> Total no. of outcomes = 14

Solution 1 :-

We know,

• P (E) = No. of possible outcomes / Total number of outcomes.

As there are three red pens. Therefore,

• P(E) = 3 / 14

Solution 2 :-

We know,

• P (E) = No. of possible outcomes / Total number of outcomes.

As there are four blue pens. Therefore,

• P(E) = 4 / 14

Solution 3 :-

We know,

• P (E) = No. of possible outcomes / Total number of outcomes.

As there are two black pens. Therefore,

• P(E) = 2 / 14

Solution 4 :-

We know,

• P (E) = No. of possible outcomes / Total number of outcomes.

As there are five green pens. Therefore,

• P(E) = 5 / 14

Solution 5 :-

We know,

• P (E) = No. of possible outcomes / Total number of outcomes.

As there 11 pens that are not red (Green + black + blue).

• P (E) = 11 / 14

Solution 6 :-

We know,

• P (E) = No. of possible outcomes / Total number of outcomes.

As there are 9 pens that are not green (Red + blue + black).

• P (E) = 9 / 14