70.7k views
2 votes
There was a plate of 2

mint brownies, 2 chocolate
brownies and 5 chocolate
brownies with nuts. What
is the probability that
Gavin will randomly take a
brownie with nuts,
put it back, and grab one
without nuts?

User Gaelle
by
7.4k points

2 Answers

3 votes

Answer:

if you add the whole amount, then 2+2+5 is 9. then divide by 4 (the number without nuts) 4/9 is 44 percent

Explanation:

User Akinuri
by
7.3k points
4 votes

Answer:

20/81

Explanation:

The total number of brownies is 2 + 2 + 5 = 9. The probability of Gavin taking a brownie with nuts on the first pick is 5/9. After putting it back, the total number of brownies is still 9, but the number of brownies with nuts is now 4. Therefore, the probability of Gavin taking a brownie without nuts on the second pick is 4/9. The probability of both events happening together is the product of the individual probabilities: (5/9) x (4/9) = 20/81. Therefore, the probability that Gavin will randomly take a brownie with nuts, put it back, and grab one without nuts is 20/81.

User Linkyndy
by
6.9k points