Question

Prizes in a raffle are determined by taking a ball from a bag. There are 15 balls in the bag, 12 of them are green, two of them with black stars. There are two silver balls, one with a black star, and one gold ball. If you draw the green ball, without the black star, you win a small prize. If you get a green ball with the black star, you get a medium prize. If you get the silver ball without the star, you get a large prize. If you get the silver ball with the black star, you get the extra-large prize. If you get the gold ball, you get the super deluxe prize.

If you get a ball, what is the probability of getting the green with the black star?


The probability of getting the green ball with the star is

a.) 0.1333

b.) 0.1133

c.) 0.0123

d.) 0.0333


This is an example of:

a.) a joint event

b.) an elementary event


The probability of winning the small prize is:

a. 0.7666

b. 0.6666

c. 0.6667

d. 0.6777

This is an example of:

a.) a joint event

b.) an elementary event


What is the probability of winning the super deluxe prize?


The probability of winning the super deluxe prize is:

a.) 6.6677

b.) 0.6667

c.) 0.7667

d.) 0.0667

This is an example of:

a.) a joint event

b.) an elementary event

Answer 1

The probability of drawing a green ball with a black star is 0.1333, which is an elementary event. There seems to be a typo in the options for the probability of winning the small prize; the correct calculation should be 0.8000. The probability of winning the super deluxe prize is 0.0667, another example of an elementary event.

Step-by-step explanation:

Probability of Winning Different Prizes in a Raffle

To calculate the probability of drawing the green ball with a black star, we take the number of green balls with black stars (2) and divide by the total number of balls (15). The calculation will be 2/15 which simplifies to 0.1333, so the correct answer is a.) 0.1333.

This scenario is an example of an elementary event because it involves a single outcome of drawing a green ball with a black star. For the probability of winning the small prize, we have 12 green balls without a black star out of the total of 15 balls, which gives us the probability of 12/15 or c.) 0.8000 (This number does not appear in the choices given in the question, which might contain an error).

The probability of winning the super deluxe prize is given by the likelihood of drawing the one gold ball out of the 15 balls, which is 1/15 or d.) 0.0667. Like the first case, this is also an example of an elementary event.

Answer 2

a. )

Step-by-step explanation:

There are 15 balls ...... two are green with a star

2 out of 15 = 2/15 = .1333