There are 5 red pens,3 blue pens and 2 green pens in a box. gary takes at random a pen from the box and gives the pen to his friend. gary then takes at random another pen from the box . work out the probability that both pens are the same colour.

➷ Find the total number of pens:

5 + 3 + 2 = 10

The probability of taking a red the first time is 5/10

The probability of taking a blue the first time is 3/10

The probability of taking a green the first time is 2/10

If you want to take the same colored pen again, there would be 1 less of the total pen (as it hasn't been replaced) and there would be one less of that color (as one has already been taken)

Therefore:

The probability of taking a red again is 4/9

The probability of taking a blue again is 2/9

The probability of taking a green again is 1/9

Multiply the values for the same color together:

5/10 x 4/9 = 20/90

3/10 x 2/9 = 6/90

2/10 x 1/9 = 2/90

Add these values together:

20/90 + 6/90 + 2/90 = 28/90

Your answer is 28/90

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i think the answer is true

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2