Solve.
-Suppose 6 cards are drawn from a deck of 52 cards. What is the probability of drawing 3 spades and 3 hearts?
A) $\frac { 1296 } { 72,709 }$
B) $\frac { 1573 } { 391,510 }$
C) $\frac { 3 } { 5,089,630 }$
D) $\frac { 1573 } { 49,980 }$

Question

Solve.
-Suppose 6 cards are drawn from a deck of 52 cards. What is the probability of drawing 3 spades and 3 hearts? 
A) $\frac { 1296 } { 72,709 }$
B) $\frac { 1573 } { 391,510 }$
C) $\frac { 3 } { 5,089,630 }$
D) $\frac { 1573 } { 49,980 }$

Quizplus · Accepted Answer

The probability is calculated by finding the number of ways to choose 3 spades from 13 and 3 hearts from 13, divided by the number of ways to choose 6 cards from 52. This gives $\frac{{\binom{13}{3} \times \binom{13}{3}}}{{\binom{52}{6}}} = \frac{1573}{391,510}$.

Solve -Suppose 6 Cards Are Drawn from a Deck of 52

Solve
-Suppose 6 Cards Are Drawn from a Deck of 52