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…

Question

asked Sep 20, 2021 109k views

1 Answer

Cpt Kitkat · Answer 1 · 2021-09-26T08:23:35+0000

Answer:

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

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:

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

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

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

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