28.1k views
5 votes
Let two cards be dealt successfully. without replacement, from a standard 52- card deck. Find the probability of the event. The first card is a jack and the second is a ten. The probability that the first card is a jack and the second card is a ten is

User Sarien
by
8.7k points

1 Answer

0 votes

Two events are happening in this problem. Let's take a look first at the probability of getting a jack in a standard 52 card deck. There are 4 jacks present in the 52 card deck, hence, the probability of getting jack is


P(jack)=(4)/(52)=(1)/(13)

After one jack was drawn, there are 51 cards remaining in the deck. There are 4 ten cards present in the deck, hence, the probability for this will be


P(ten)=(4)/(51)

To get the overall probability of getting a jack on the first draw and ten on the second draw, just multiply the probabilities above. We get


P=(1)/(13)\cdot(4)/(51)=(4)/(663)

The answer to this problem is 4/663.

User Mcompeau
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories