Question

rulfus has a box that contains cards of the same shape and size.there are 5 yellow cards, 4red cards, and 1 purple card.he draws a card at random replaced it, and draws a second card .what is the probability that both cards will be red?

Answer 1

`P(Red\ and\ Red) = (4)/(25)`

Explanation:

Given

`Yellow = 5`

`Red = 4`

`Purple = 1`

`Total = 10`

Required

Determine the probability of selecting red, twice

Since it is a probability with replacement, the probability can be represented as:

`P(Red\ and\ Red) = P(Red) * P(Red)`

And this is calculated as follows:

`P(Red\ and\ Red) = (n(Red))/(Total) * (n(Red))/(Total)`

`P(Red\ and\ Red) = (4)/(10) * (4)/(10)`

`P(Red\ and\ Red) = (2)/(5) * (2)/(5)`

`P(Red\ and\ Red) = (4)/(25)`