MATH SOLVE

4 months ago

Q:
# Base your answer to the question on the diagram shown below what is the probability of drawing a blue card , replacing it , and then drawing a blue card 3/5 6/25 9/25

Accepted Solution

A:

Answer: The correct option is C.Step-by-step explanation:According to the given diagram :Number of blue balls = 3Number of red balls = 2Total number of balls as given in the diagram = 2+ 3 = 5[tex]\text{Probability of drawing a blue card = }\frac{3}{5}[/tex]Now, The card is replaced and again a blue card is drawn[tex]\text{Probability of drawing a blue card again = }\frac{3}{5}[/tex][tex]\text{Hence, Probability of drawing a blue card twice after replacing = }\frac{3}{5}\times \frac{3}{5}=\frac{9}{25}[/tex]Therefore, The correct option is C.