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 both cards selected have a
1, both with and without replacement.

Answer 1

Using the probability concept, it is found that they are given by:

• 0.0316 = 3.16%, without replacement.

• 0.04 = 4%, with replacement.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Without replacement, there are 4 out of 20, and then 3 out of 19 cards with a 1, hence:

$p = \frac{4}{20} \times \frac{3}{19} = 0.0316$

0.0316 = 3.16% probability that both cards selected have a 1 without replacement.

With replacement, in each trial, 4 out of 20, hence:

$p = \frac{4}{20} \times \frac{4}{20} = 0.04$

0.04 = 4% probability that both cards selected have a 1 with replacement.

More can be learned about probabilities at https://brainly.com/question/14398287