In Exercises 17–20, you are dealt one card from a standard 52-car...

Question

In Exercises 17–20, you are dealt one card from a standard 52-card deck. Find the probability of being dealt a queen.

Accepted Answer

Hello, everyone in this video. We're going to be looking at this practice problem where we want to find the probability of obtaining a jack when a card is drawn from a standard 52 card deck. So in order to get started with solving this problem, let's think about what's in a standard 52 card deck. So a standard 52 card deck has four suites. It has clubs, diamonds, hearts and speeds. And each of the suites has an ace, The numbers two through 10 and then a jack, a queen and a king. So because each suite has one jack and we have four suites, That means that there's a total of four jacks In a standard 52 card deck. So in order to determine the probability of obtaining the jack, we have to divide the number of favorable outcomes by the number of total outcomes. So in this case the number of total outcomes is the number of carts. Because Since there's 52 cards There's 52 possible outcomes or 52 possible pools. So 52 is actually the number of total outcomes. So now that we've defined both the number of favorable outcomes and the number of total outcomes, we can figure out this probability. So we have four as the number of favorable outcomes because that's how many jacks there is in one standard 52 card deck And the number of total outcomes is 52 because that's the total amount of cards. And we can actually simplify this because four divided by 52 is the same as one Divided by 13. So that means that we have a one in 13 chance of obtaining a jack when we pull a card from a standard 52 card deck So one divided by 13 is our final answer, and you can see that this aligns with answer choice c. So hopefully this video helped and see you next time.