Dylan has a bag of M&Ms with 7 green, 13 cyan, and 5 yellow M&Ms. Find the following probabilities of Dylan drawing the given M&Ms from the bag if each M&M is removed from the bag after it is drawn. You may answer with fractions or decimals rounded to three places. A green, then a cyan =   A yellow, then a yellow =   A green, then another green, and then a cyan =

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A)Dylan has a bag of M&Ms with 7 green, 13 cyan, and 5 yellow M&Ms.

Find the following probabilities of Dylan drawing the given M&Ms from the bag if each M&M is removed from the bag after it is drawn. You may answer with fractions or decimals rounded to three places.

  1. A green, then a cyan =  
  2. A yellow, then a yellow =  
  3. A green, then another green, and then a cyan =

b)

Suppose a jar contains 13 yellow pens and 36 red pens. If you reach in the jar and pull out two pens at random at the same time:

Answer the following using a fraction or a decimal rounded to three places where necessary.

a) Are the events dependent or independent?    

b) Why?      

c) Find the probability that both are yellow.  

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A)

Here we are given that Dylan has a bag of M&M with 7 green, 13 cyan and 5 yellow M&Ms.

Also we are given that each M&M is removed after it is drawn.

Probability of an event is defined as :

Probability=Number of favorable outcomesTotal number of outcomes

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