Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A 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
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.