There are 3 cards in a hat one is a king, one is a queen, and one is an ace. Two cards are to be selected at random with replacement Using a tree diagram, obtain the sample space for the experiment. Then, find the probability that a king and a queen are selected.

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Answer:

3/5

Step-by-step explanation:

The chance of either on one pick is 2/3, picking again is 1/2. This gives a 3 in 5 chance.

This question is based on the probability. Therefore, the probability that a king and a queen are selected is [tex]\dfrac{3}{5}[/tex].

Given:

There are 3 cards in a hat one is a king, one is a queen, and one is an ace. Two cards are to be selected at random with replacement.

We need to determined the  probability that a king and a queen are selected.

According tot the question,

It is given that, 3 cards in a hat one is a king, one is a queen, and one is an ace. Two cards are to be selected at random with replacement.

⇒ The probability of either on one pick is [tex]\dfrac{2}{3}[/tex].

⇒ Thus, the probability of picking again is [tex]\dfrac{1}{2}[/tex].

⇒ This gives a 3 in 5 chance.

Therefore, the probability that a king and a queen are selected is [tex]\dfrac{3}{5}[/tex].

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https://brainly.com/question/11234923

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