Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

you pick a card at random and put it back and then pick another card at random what is the probability of picking an even number and then picking a five

You Pick A Card At Random And Put It Back And Then Pick Another Card At Random What Is The Probability Of Picking An Even Number And Then Picking A Five class=

Sagot :

STEP - BY - STEP EXPLANATION

What to find?

The probability of picking an even number and then picking a five.

Given:

Step 1

State the probability formula.

[tex]Probability=\frac{required\text{ outcome}}{all\text{ possible outcome}}[/tex]

Step 2

Identify the even numbers and the all possible outcome.

Even numbers =4, 6

Step 3

Find each of the probability.

Let A be the event of picking an even number and B be the event of picking a 5.

[tex]\begin{gathered} P(A)=\frac{2}{4} \\ \\ P(B)=\frac{1}{4} \end{gathered}[/tex]

Step 4

Determine the compound probability.

[tex]\begin{gathered} P(A\text{ and B\rparen=P\lparen A\rparen}\times P(B|A) \\ \\ =\frac{2}{4}\times\frac{1}{4} \\ \\ =\frac{2}{16} \\ \\ =\frac{1}{8} \end{gathered}[/tex]

Step 5

Convert to percentage.

[tex]\begin{gathered} Probability=\frac{1}{8}\times\text{ 100\%} \\ \\ =12.5\text{ \%} \end{gathered}[/tex]

ANSWER

12.5 %

View image MeloG724715