Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Please help! Double points!

There are 2 blue blocks in a bag of 9 blocks. You pick 4 without replacement. What is the probability that you get at least 1 blue block?


Sagot :

Answer:

[tex]\frac{13}{18}[/tex] (72.22%)

Step-by-step explanation:

For this question, you must get at least one blue block. However, you can also think of it this way: pretend the other seven blocks are red (it does not matter since the colors other than blue do not matter) what is the probability that you do not only get red blocks?

You can calculate the probability that you only get red blocks simply with multiplication rule:

[tex]\frac{7}{9} *\frac{6}{8} *\frac{5}{7} *\frac{4}{6}[/tex][tex]=\frac{5}{18}[/tex]

(not the numbers increment down because they are not replaced)

Then, you use the fact that having red blocks and not having red blocks as a complement to calculate the probability

[tex]1-\frac{5}{18}[/tex][tex]=\frac{13}{18}[/tex]

This is your final answer: 72.22%