Question

What are the odds in favor of rolling a three or a four on a single die roll and selecting a queen from a deck of cards?

I need help. Please show the solution process. Tia

Answer 1

What are the odds in favor of rolling a three or a four on a single die roll and selecting a queen from a deck of cards?

P[ odds in favor of rolling a three or a four on a single die roll and selecting a queen from a deck of cards ] = P[ odds in favor of rolling a three or a four on a single die roll ]*P[ selecting a queen from a deck of cards ]

Since the two events are independent

P[ selecting a queen from a deck of cards ] = number of queens / total number of cards

P[ selecting a queen from a deck of cards ] = 4/52 = 1/13

P[ odds in favor of rolling a three or a four on a single die roll ] = Getting 3 or 4 on die / total number of possibilities

P[ odds in favor of rolling a three or a four on a single die roll ] = 2/6 = 1/3

P[ odds in favor of rolling a three or a four on a single die roll and selecting a queen from a deck of cards ] = (1/13)*(1/3)

P[ odds in favor of rolling a three or a four on a single die roll and selecting a queen from a deck of cards ] = 1/39

If p = m/n

Odds in favor = m:(n-m)

Odds in favor = 1:(39-1)

Odds in favor = 1:38