Mary has a box full of apples:

An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen

nydimaria [60]

Answer:

b. 0.6024

Step-by-step explanation:

Conditional Probability

Suppose two events A and B are not independent, i.e. they can occur simultaneously. It means there is a space where the intersection of A and B is not empty:

$P(A\cap B) \neq 0$

If we already know event B has occurred, we can compute the probability that event A has also occurred with the conditional probability formula

$\displaystyle P(A|B)=\frac{P(A\cap B)}{P(B)}$

Now analyze the situation presented in the question. Let's call F to the fair coin with 50%-50% probability to get heads-tails, and U to the unfair coin with 32%-68% to get heads-tails respectively.

Since the probability to pick either coin is one half each, we have

$P(U)=P(F)=50\%=0.5$

If we had picked the fair coin, the probability of getting heads is 0.5 also, so

$P(F\cap H)=0.5\cdot 0.5=0.25$

If we had picked the unfair coin, the probability of getting heads is 0.32, so

$P(U\cap H)=0.32\cdot 0.5=0.16$

Being A the event of choosing the fair coin, and B the event of getting heads, then

$P(B)=P(F\cap H)+P(U\cap H)=0.25+0.16=0.41$

$P(A\cap B)=P(F\cap H)=0.25$

$\displaystyle P(A|B)=\frac{0.25}{0.41}=0.61$

The closest answer is

b. 0.6024

7 0

3 years ago

A walking trail through a forest preserve is 34,215 meters in length .What is length in kilometers of the trail ?

Alika [10]

34.215 kilometers you move the decimal to the left three places because Kilo means 1000 and there are 3 zeros in 1000. you move left because Kilometer is bigger than meter.

4 0

3 years ago

Read 2 more answers

I NEED HELP WHATS THE VALUE OF X ??? #6

sukhopar [10]

Answer:

10°

Step-by-step explanation:

Complementary angles where either of two angles whose sum is 90°

B= 50°

90°-50°=40°

40/4=10