Question

For an experiment, we have a single fair deck of cards (13 cards of 4 suits, 52 total cards) and will draw two cards without replacement. Let event B be defined as "the two cards are figures and form a pair." (Remember, figures are either Jack, Queen, King, or Ace. A pair is formed when two cards of the same rank are chosen, for example, 2 and 2, 3 and 3, Ace and Ace, etc.) What is the probability of event B? Choose one answer only. a. 4/221 b. 2/13 c. 1/221 d. 3/51

Name: for an experiment we have a single fair deck of cards 13 cards of 4 suits 52 total cards and will draw two cards without replacement let event b be defined as the two cards are figures and f 46745
Uploaded: 2021-12-28T13:32:08-08:00
Duration: 3 min 8 s
Channel: Md.Daniyal Arshad
Description: for an experiment we have a single fair deck of cards 13 cards of 4 suits 52 total cards and will draw two cards without replacement let event b be defined as the two cards are figures and f 46745

          For an experiment, we have a single fair deck of cards (13 cards of 4 suits, 52 total cards) and will draw two cards without replacement. Let event B be defined as "the two cards are figures and form a pair." (Remember, figures are either Jack, Queen, King, or Ace. A pair is formed when two cards of the same rank are chosen, for example, 2 and 2, 3 and 3, Ace and Ace, etc.) What is the probability of event B? Choose one answer only.
a. 4/221
b. 2/13
c. 1/221
d. 3/51

Added by Justin M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Md.Daniyal Arshad

12/28/2021

Step 1

This can be calculated using the combination formula: $$\binom{52}{2} = \frac{52!}{2!(52-2)!} = \frac{52 \times 51}{2 \times 1} = 1326$$ ** Show more…

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For an experiment, we have a single fair deck of cards (13 cards of 4 suits, 52 total cards) and will draw two cards without replacement. Let event B be defined as "the two cards are figures and form a pair." (Remember, figures are either Jack, Queen, King, or Ace. A pair is formed when two cards of the same rank are chosen, for example, 2 and 2, 3 and 3, Ace and Ace, etc.) What is the probability of event B? Choose one answer only. a. 4/221 b. 2/13 c. 1/221 d. 3/51