Question

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 is randomly chosen will award a larger prize

Answer 1

The probability that a randomly chosen ticket will award a larger prize is calculated by multiplying the probability of getting a winning ticket with the probability that the winning ticket is for a larger prize, which results in a 20% chance.

Step-by-step explanation:

The question is seeking to determine the probability that a ticket chosen at random from a raffle will award a larger prize. We are given that 6 out of every 10 tickets are winning tickets, and of those winning tickets, 1 in every 3 is for a larger prize. To find this probability, we need to multiply the probability of a ticket being a winner by the probability of the winning ticket awarding a larger prize:

• Probability of a winning ticket = 6/10 or 0.6
• Probability of a larger prize if it's a winning ticket = 1/3 or approximately 0.333

Now, we multiply these probabilities:

Probability of a larger prize = Probability of winning ticket × Probability of a larger prize given a winning ticket

Probability of a larger prize = 0.6 × 0.333

Probability of a larger prize = 0.2 or 20%

Answer 2

the probability that a ticket is randomly chosen will award a larger prize can be solved knowing the probability of each event. Since the probability of a winning ticket is 6/ 10 then 1/3 is a larger prize. So for every 10 there 2 larger prize. So the probability that a ticket is randomly chosen will award a larger prize is 2/10 or 1/5