Description
The names of 11 boys and 7 girls have been put in a hat . what is the probability that the first two names chosen will be a boy followed by a girl?
Explanation & Answer
dependent means we do not return the names
so first will be 11/18 of getting the result of a boy then 10/17 of getting a boy out of whats left then 7/16 out of whats left then we multiply together
and get 385/2448 = 0.15727
the reason we multiply together is the fact in which it is happening consecutively similar to a 70% chance of rain today tomorrow and day after, we multiply them all together (.7*.7*.7) to get .343 of a chance it rains everyday. Which is why we multiply in our question since we want everything to happen
If it is independent then we put each name back in the hat so it is 11/18 then 11/18 then 7/18 we multiply and get 0.1452331
hope this helps
Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
The Awakening
by Kate Chopin
Brave New World
by Aldous Huxley
A Wrinkle as Time
by Madeleine L'Engle
The 7 Habits of Highly Effective People
by Stephen R. Covey
The Calcutta Chromosome
by Amitav Ghosh
Siddhartha
by Hermann Hesse
The Great Gatsby
by Francis Scott Key Fitzgerald
Animal Farm
by George Orwell
Ethan Frome
by Edith Wharton