Answer :
The experimental data suggest that
[tex]\mathbb P(\text{red})\approx\dfrac{38}{75}[/tex]
[tex]\mathbb P(\text{blue})\approx\dfrac{23}{75}[/tex]
[tex]\mathbb P(\text{green})\approx\dfrac{11}{75}[/tex]
[tex]\mathbb P(\text{yellow})\approx\dfrac3{75}[/tex]
Because the marble is replaced after being drawn, and so the number of marbles of a given color remains the same, the event of drawing any given color is independent of what was drawn before. So
[tex]\mathbb P(\text{2 consecutive yellows})\approx\dfrac3{75}\cdot\dfrac3{75}=\dfrac1{625}[/tex]
[tex]\mathbb P(\text{red})\approx\dfrac{38}{75}[/tex]
[tex]\mathbb P(\text{blue})\approx\dfrac{23}{75}[/tex]
[tex]\mathbb P(\text{green})\approx\dfrac{11}{75}[/tex]
[tex]\mathbb P(\text{yellow})\approx\dfrac3{75}[/tex]
Because the marble is replaced after being drawn, and so the number of marbles of a given color remains the same, the event of drawing any given color is independent of what was drawn before. So
[tex]\mathbb P(\text{2 consecutive yellows})\approx\dfrac3{75}\cdot\dfrac3{75}=\dfrac1{625}[/tex]
Answer:
D
Step-by-step explanation:
took the test hope it helped