In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, one out of every three awards is a larger prize.

What is the probability that a ticket that is randomly chosen will award a larger prize?

Two-fifteenths
One-fifth
Five-ninths
Five-sixths

Respuesta :

Answer:

one fifth

Step-by-step explanation:

1/3 of 6 is 2 2/10=1/5

We will see that the probability of getting a winning ticket with a large prize is 1/5.

How to find the probability?

We know that 6 out of every 10 tickets, is a winning ticket.

So the probability of randomly getting a winning ticket is:

p = 6/10

Then, we know that 1 out of every 3 winning tickets gives a larger prize, so the probability here is:

q = 1/3.

But first, you need to have a winning ticket, so we need to multiply that by p, we will get:

probability = (6/10)*(1/3) = 2/10 = 1/5

So the correct option is the second one.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701