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A bag contains 7 blue marbles, 8 green marbles, 15 red marbles, and 10 yellow marbles. Find the probability of randomly drawing without replacement, a blue marble and then a red.

a. 7/160 or about 0.0438

b. 21/320 or about 0.0656

c. 7/104 or about 0.0673

d. 15/66 or about 0.2273

Respuesta :

Answer:

The correct answer option is c. 7/104 or about 0.0673.

Step-by-step explanation:

We are given that a bag has 7 blue marbles, 8 green marbles, 15 red marbles, and 10 yellow marbles.

We are to find the probability of randomly drawing without replacement, a blue marble and then a red.

P (blue) = [tex]\frac{7}{40}[/tex]

P (red | blue) = [tex]\frac{15}{39}[/tex]

P (blue then a red) = [tex]\frac{7}{40}[/tex] × [tex]\frac{15}{39}[/tex] = 7/104 or 0.0673