An envelope contains small strips of paper of equal size and shape. Four of the strips have the number 4 written on them, five of the strips have the number 5 written on them, and three of the strips have the number 3 written on them. What is the probability of randomly pulling a strip with the number 4 written on it followed by pulling a strip with the number 3 written on it?

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nuuk nuuk · Answer 1 · 2020-05-30T20:18:31+02:00

Answer:[tex]\dfrac{1}{11}[/tex]

Step-by-step explanation:

Given

There are four [tex]4[/tex] written strips

Five of [tex]5[/tex] written on them

three of [tex]3[/tex] written on them

Now the probability of of pulling a strip with number 4 written followed by pulling a strip 3 written on it

[tex]P=\text{Probability of pulling a 4 written }\times \text{Probability of pulling 3 written strip out of remaining}[/tex]

[tex]P=\dfrac{4}{12}\times \dfrac{3}{11}[/tex]

[tex]P=\dfrac{4\times 3}{12\times 11}[/tex]

[tex]P=\dfrac{1}{11}[/tex]