ASN 8.09: Multiplying Probabilities

From a standard deck of 52 cards, what is the probability of drawing a heart, then a diamond, then a club, and then a spade.

• 
  

  $\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}$

• $\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot4!$

• $\frac{13}{52}\cdot\frac{13}{51}\cdot\frac{13}{50}\cdot\frac{13}{49}$

• $\frac{13C1\cdot13C1\cdot13C1\cdot13C1}{52C4}$

From a standard deck of 52 cards, what is the probability of drawing a heart,  then a diamond, then a club, and then a spade if the cards are replaced.

• 
  

  $\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}$

• $\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot4!$

• $\frac{13}{52}\cdot\frac{13}{51}\cdot\frac{13}{50}\cdot\frac{13}{49}$

• $\frac{13C1\cdot13C1\cdot13C1\cdot13C1}{52C4}$

From a standard deck of 52 cards, what is the probability of drawing a heart, a diamond, a club, and a spade if the cards are replaced.

• 
  

  $\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}$

• $\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot4!$

• $\frac{13}{52}\cdot\frac{13}{51}\cdot\frac{13}{50}\cdot\frac{13}{49}$

• $\frac{13C1\cdot13C1\cdot13C1\cdot13C1}{52C4}$

From a standard deck of 52 cards, what is the probability of drawing a heart, a diamond, a club, and a spade.

• 
  

  $\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}$

• $\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot\frac{13}{52}\cdot4!$

• $\frac{13}{52}\cdot\frac{13}{51}\cdot\frac{13}{50}\cdot\frac{13}{49}$

• $\frac{13C1\cdot13C1\cdot13C1\cdot13C1}{52C4}$

Tags

CCSS.HSS.CP.B.9

A club has 20 girls and 30 boys. If two names are drawn at random from a box, what is the probability a boy and girl are drawn?

• 
  

  $\frac{30}{50}\cdot\frac{20}{50}$

• $\frac{30}{50}\cdot\frac{20}{49}$

• $\frac{30}{50}\cdot\frac{20}{50}\cdot2!$

• $\frac{20C1\cdot30C1}{50C2}$

Tags

CCSS.HSS.CP.B.9

A club has 20 girls and 30 boys. If two names are drawn at random from a box, what is the probability a boy is drawn and then a girl?

• 
  

  $\frac{30}{50}\cdot\frac{20}{50}$

• $\frac{30}{50}\cdot\frac{20}{49}$

• $\frac{30}{50}\cdot\frac{20}{50}\cdot2!$

• $\frac{20C1\cdot30C1}{50C2}$

A club has 20 girls and 30 boys. If two names are drawn at random from a box, what is the probability a boy and girl are selected if the names are returned to the box?

• 
  

  $\frac{30}{50}\cdot\frac{20}{50}$

• $\frac{30}{50}\cdot\frac{20}{49}$

• $\frac{30}{50}\cdot\frac{20}{50}\cdot2!$

• $\frac{20C1\cdot30C1}{50C2}$

A club has 20 girls and 30 boys. If two names are drawn at random from a box, what is the probability a boy is drawn and then a girl if the names are returned to the box?

• 
  

  $\frac{30}{50}\cdot\frac{20}{50}$

• $\frac{30}{50}\cdot\frac{20}{49}$

• $\frac{30}{50}\cdot\frac{20}{50}\cdot2!$

• $\frac{20C1\cdot30C1}{50C2}$

A club has 20 girls and 30 boys. If three names are drawn at random from a box, what is the probability they are all girls

• 
  

  $\frac{20}{50}\cdot\frac{19}{50}\cdot\frac{18}{50}$

• $\frac{20}{50}$
  

• $\frac{20}{50}\cdot\frac{19}{50}\cdot\frac{18}{50}\cdot3!$
  

• $\frac{20C3}{50C3}$
  

Tags

CCSS.HSS.CP.B.9

A club has 20 girls and 30 boys. If three names are drawn at random from a box, what is the probability they draw 2 girls and then a boy?

• 
  

  $\frac{20}{50}\cdot\frac{19}{50}\cdot\frac{30}{50}$

• $\frac{20}{50}\cdot\frac{19}{50}\cdot\frac{30}{50}\cdot3!$
  

• $\frac{20}{50}\cdot\frac{19}{49}\cdot\frac{30}{48}$
  

• $\frac{20C2\cdot30C1}{50C3}$