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

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 =
`(26)/(52)=(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=

`(1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)=[(1)/(2)]^4`