Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
Step-by-step explanation:
To find the probability of event F (selecting a green marble second) given event E (selecting a green marble first), we use the formula for conditional probability:
1. Calculate the probability of event F and E occurring together (P(F ∩ E)):
- P(E) = Probability of selecting a green marble first =
- After selecting a green marble, there are 17 green marbles left out of 49 marbles total.
- Therefore, P(F ∩ E) = Probability of selecting a green marble first and then a green marble second =
17/49
Answer: 17/49
Explanation
The vertical bar represents the key term "given" which is used in conditional probability.
P(F | E) = P(F given E)
I prefer the second version since the vertical bar could easily be confused with the uppercase letter 'i' or lowercase L or the digit 1. Of course it's up to you which you prefer best.
P(F given E) is where we ask "what is P(F) if we know 100% that event E has occurred?"
E in this case represents "first marble is green".
18 green drops to 18-1 = 17 remaining green
The 20+18+12 = 50 total marbles drops to 50-1 = 49 total marbles.
P(F given E) = 17/49 since we have 17 remaining green out of 49 remaining total marbles.
Using a calculator we find this approximation 17/49 ≈ 0.3469 meaning there's roughly a 34.69% chance of event F occurring if we know that event E has already occurred.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
