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Determine if the event described is independent or dependent.

    1 .A shipment of thirty I-pods is said to contain three defective I-pods. If you pull two I-pods from the shipment at the same time, what is the probability that both are not defective?

     

     2 .You choose a marble from a jar containing five red, two orange and three green marbles and toss a coin. What is the probability of choosing an orange marble and the coin landing on tails?

     

     3.You choose two marbles from a jar at the same time. The jar contains five red, two orange and three green marbles. What is the probability of choosing an orange and a green marble?

   

     4 .You toss a coin and roll a die. What is the probability of getting a heads and a four?

     

     5 .Your teacher wants to choose two students to help with a problem. He chooses one student from the class and then another. The class has ten boys and eight girls. What is the probability that he chooses a boy and then a girl?

 Mar 28, 2019
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\(1)~\text{answered in other thread}\)

 

\(2)~\dfrac{2}{10}\dfrac 1 2 = \dfrac{1}{10}\)

 

\(3)~\dfrac{\dbinom{2}{1}\dbinom{3}{1}}{\dbinom{10}{2}} = \dfrac{6}{45}=\dfrac{2}{15}\)

 

\(4)~\dfrac 1 2 \dfrac 1 6 = \dfrac{1}{12}\)

 

\(5)~\dfrac{10}{18}\dfrac{8}{17} = \dfrac{40}{153}\)

.
 Mar 28, 2019

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