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 picture card.

Accepted Answer

Hello everyone in this video. We're gonna be looking at this practice problem where we want to find the probability of obtaining a club card When drawing from a standard 52 card deck That has been properly shuffled. So in order to get started with this problem, let's think about the standard 52 card deck. So the standard 52 card deck has four suites. There's the clubs, diamonds, hearts and spades. And within the forts within each suite there's an ace, The cards two through 10 and a jack, a queen and a king. So 13 cards total per suite. So in this case we care about the club suite, which means that we only really care about 13 cards total Because each suite has 13 cards. So we care about the 13 cards total in the club suite. So this means that 13 equals the number of favorable outcomes And 52 is equal to the number of total outcomes because there's 52 cards total. So that means that there's 52 ways or 52 cards that we can pull out. But we only care about those 13. So to find the probability of attaining of club card, we need to divide the number of favorable outcomes. 13 divided by the number of total outcomes. 52. And if we simplify this, 13 divided by 52 is the same as 1/4. So 1 4th is the probability of pulling a card from the spade from the club suite When drawing a card from a standard card deck. And you can see that 1/4 aligns with answer choice b. So hopefully this video helped and see you next time.