Question

A bead is chosen randomly from a golf bag. If 40% of the beads are Spears and 30% of the Spheres are blue what's the probability of choosing a blue sphere?

a. 75%
b. 1.2 %
c. 12%
d. 10%​

Answer 1

`\large\boxed{C).\,12\%}`

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

`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\%}`

Your answer would be C). 12%

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!

Answer 2

c. 12%

Explanation:

40% of the beads are spears, you can convert it to 0.4

30% of the spheres are blue, you can convert it to 0.3

=> probability choosing blue sphere = (0.4 * 0.3)*100(%) = 12%

My explaination may not really clear but the answer is correct. Hope this help!