you draw 2 cards randomly from a deck of 52 cards, what is probability that both cards are kings ? 0.45%, 0.59%, 0.04 %, 0r 3.84%

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 2ECP: a. You toss three coins. What is the probability that all three land tails up? b. You draw one card...
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In a set of 3 events that are mutually exclusive , what is probability of 2 pf the different events occuring together?

100%, 0%, 66.00%, or 33.00 %

you draw 2 cards randomly from a deck of 52 cards, what is probability that both cards are kings ?

0.45%, 0.59%, 0.04 %, 0r 3.84%

Expert Solution
Step 1

Given:

You draw 2 cards randomly from a deck of 52 cards, what is probability that both cards are kings:

There are 4 kings in a deck of cards.

Case 1: Two cards are drawn one after the other.

Probability of an event is given by the formula:

PE=favourable outcomesTotal possible outcomes

Probability that the first card is a king is:

Pking=452

The first card is not replaced before the second card is selected.

So, there are now only three kings in the deck and only 51 cards in the deck.

Probability that second card drawn is a king is:

PKing=351

 

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