A jar on your desk contains twelve black, eight red, ten yellow, and five green jellybeans. You pick a jellybean without looking. (a) What is the probability that the jellybean is red? Write your answer as a fraction. (b) What is the probability that the jellybean is not green? Write your answer as a fraction. (c) What are the odds in favor of picking a yellow jellybean?

Respuesta :

Answer:

a.  [tex]\dfrac{8}{35}[/tex]

b. [tex]=\dfrac{6}{7 }[/tex]

c.  [tex]2:5[/tex]

Step-by-step explanation:

Given : A jar on your desk contains twelve black, eight red, ten yellow, and five green jellybeans.

Total jellybeans = [tex]12+8+10+5=35[/tex]

a) Then the probability that the jellybean is red :

[tex]\dfrac{\text{Number of red jellybeans}}{\text{Total jellybeans}}=\dfrac{8}{35}[/tex]

b) The number of jellybeans are not green = 35-5=30

The probability that the jellybean is not green :

 [tex]\dfrac{\text{Number of jellybeans not green}}{\text{Total jellybeans}}=\dfrac{30}{35}[/tex]

[tex]=\dfrac{6}{7 }[/tex]

c) The odds is the ratio of the number of times evnt is posssible to number of times event is not possible.

Number of yellow jellybeans = 10

Number of jellybeans are not yellow = 35-10=25

Now, the odds in favor of picking a yellow jellybean : [tex]10:25[/tex]

i.e. [tex]2:5[/tex]

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