Respuesta :
Answer: She is expected to select 2 pennies 36 times.
Step-by-step explanation:
In jar , we have
6 pennies and 4 nickels
Total coins = 10
The probability of getting two pennies ( with replacement) =
[tex]\dfrac{\text{Number if ways to get 2 pennies}}{\text{Total ways to select 2 coins}}\\\\=\dfrac{6\times6}{10\times10} \ \ [\text{independent events]}\\\\=\dfrac{36}{100}[/tex]
If Margo repeats the experiment 100 times, then expected number of times to select two pennies = [tex]\dfrac{36}{100}\times100=36[/tex]
She is expected to select 2 pennies 36 times.
We will see that Margo can expect to randomly select two pennies 36 times.
Probability of selecting two pennies at random.
The probability of selecting a penny at random is equal to the quotient between the number of pennies in the jar and the total number of coins in the jar, this is:
p = 6/10
And doing that two times, needs that probability two times, so the probability of selecting two pennies is:
p = (6/10)*(6/10) = 36/100
How many times she can expect to select 2 pennies in 100 attempts?
Here we just need to multiply the above probability by 100, we will get:
(36/100)*100 = 36
So she can expect to get two pennies 36 times.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701