Question

a board game uses the deck of 20 cards shown to the right. two cards are selected at random from this deck. calculate the probability that the first card selected has a yellow bird and the second card selected has a frog, both with and without replacement. two cards are to be selected with replacement. determine the probability that the first card selected has a yellow bird and the second card selected has a frog. (type an integer or a simplified fraction.)

Explanation:

Answer:

The discipline is Mathematics, and the sub - field is Statistics.
The probability: There are 5 yellow bird cards out of 20 cards for the first draw, and 5 frog cards out of 19 cards for the second draw (since it's without replacement). The probability is \(\frac{5}{20}\times\frac{5}{19}=\frac{25}{380}=\frac{5}{76}\)