Question

You draw 4 cards from a deck of 52 cards with replacement. What are the probabilities of drawing a black card on each of your four trials?

Answer 1

1/2 ( or 2/4) because half of the cards are black

Answer 2

Solution:

As, in a pack of cards, there are 26 black cards and 26 red cards.

Probability of an event = $\frac{\text{total favorable outcome}}{\text{total possible outcome}}$

Probability of drawing a black card from a pack of 52 cards = $\frac{26}{52}=\frac{1}{2}$

As each card drawn is replaced,Each black card draw is an independent with another black card draw.

Probabilities of drawing a black card on each of  four trial=

  $\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=[\frac{1}{2}]^4$