Answer:
[tex]\large\boxed{C).\,12\%}[/tex]
Step-by-step explanation:
In this question, we're trying to figure out the probability of choosing a bead that's a sphere and is blue.
In this case, we know that:
- 40% of the beads are spheres
- 30% of the spheres are blue
With the information above, we can solve the question.
We don't know the exact amount of beads in the bag, so we would use 10 beads as an example (since 10 beads would equal 100%).
We know that we have a 40% chance of getting a sphere bead, so our probability is currently at 40% or 0.4
30% of those spheres are blue.
So what we would do is find the chances of picking a blue spherer from the total amount of spheres.
To do this, we would multiply 0.4 by 0.3
[tex]0.4*0.3=0.12\\\\\text{Move the decimal place two times to the right}\\\text{to make it into a percent}\\\\\boxed{12\%}[/tex]
Your answer would be C). 12%
I hope this helped you out.
Good luck on your academics.
Have a fantastic day!
