Question

Jake has three different colored pens in his book bag: blue, green and purple. The probability of randomly choosing a blue pen from Jake’s book bag is 60%. The probability of randomly choosing a green pen from Jake’s book bag is 0.10. The probability of drawing a purple pen is 3/10. Determine how likely it is, in relation to 0, for Jake's to randomly choose a red pen from his book bag?

Answer 1

0

Explanation:

You want the likelihood of drawing a red pen from a book bag that has only blue, green, and purple pens in it.

Probability

There are only blue, green, and purple pens in the bag, so it is impossible to draw a red pen from the bag. The probability of an impossible event is zero.

The probability of choosing a red pen from Jake's book bag is exactly equal to zero.

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Answer 2

The probability of randomly choosing a red pen is 0.

Explanation:

Jake has three different coloured pens in his book bag: blue, green, and purple. The probability of:

• randomly choosing a blue pen is 60% (0.60).

• randomly choosing a green pen is 0.10.

• drawing a purple pen is 3/10 (0.30).

Since there are no red pens in his book bag, the probability of randomly choosing a red pen is 0.

To confirm this, we can add the probabilities of choosing each of the available pen colours:

• Blue pen: 0.60

• Green pen: 0.10

• Purple pen: 0.30

Now, we can add the probabilities (decimals):

• Total probability = 0.60 + 0.10 + 0.30

• Total probability = 1

Since, the total probability of all possible events must equal 1, and the probabilities of choosing blue, green, and purple pens add up to 1, there is no probability left for choosing a red pen. Therefore, the probability of Jake randomly choosing a red pen from his book bag is 0.

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