Step-by-step explanation:
As the cards are being drawn with replacement, the events are independent. Thus we can find the probability by multiplying the probability of individual events.
There are 4 queens in a pack of 52 cards. So, probability of drawing a queen= 4/52=1/13
There are 26 red cards. So, probability of drawing a red card= 26/52=12
Required probability= 1/13×1/2=1/26
Answer:
1/26
Step-by-step explanation:
For probability, the numerator is the number of options for the specified property (red card/drawing a queen) and the denominator is the total number of options (in this case 52).
There are 26 red cards in a deck, the the probability of choosing a red card is [tex]\frac{26}{52}[/tex] or [tex]\frac{1}{2}[/tex].
There are 4 queens in a deck, so the probability of choosing a queen is [tex]\frac{4}{52}[/tex] or [tex]\frac{1}{13}[/tex].
To find the probability of getting these both, multiply the results, giving [tex]\frac{1}{26}[/tex].
