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A bag contains 45 dyed eggs: 15 yellow, 12 green, and 18 red. What is the probability of selecting a green or red egg.

Sagot :

hikup

Answer:

it's 30/45

Step-by-step explanation:

because there are 12 green and 18 red which equal 30. Then there are 45 eggs in total. So 30/45

Probability of selecting a green or red egg is equals to [tex]\frac{30}{45}[/tex].

What is probability?

" Probability is defined as ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Given,

Total number of dyed eggs [tex]= 45[/tex] dyed eggs

Number of yellow eggs [tex]= 15[/tex]

Number of green eggs [tex]= 12[/tex]

Number of red eggs [tex]= 18[/tex]

Substitute the value in the formula to get the probability of each required colour egg,

Probability of green egg [tex]P(G)= \frac{12}{45}[/tex]

Probability of red egg [tex]P(R)= \frac{18}{45}[/tex]

Both are independent therefore,

P( G ∩ R) [tex]=0[/tex]

Probability of selecting a green or red egg [tex]= P(G) + P(R)[/tex]

                                                                         [tex]= \frac{12}{45} + \frac{18}{45}\\\\= \frac{30}{45}[/tex]

Hence, probability of selecting a green or red egg is equals to [tex]\frac{30}{45}[/tex].

Learn more about probability here

brainly.com/question/11234923

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