there are 6 purple socks and 4 orange socks in a drawer. zucky picked one sock without looking and then another without looking or replacing the first. what is the probability that he picked 2 purple socks?
Total number of socks = 6+4 = 10
For the first pull:
There are 6 purple socks out of 10 total socks
6/10
At his second pull, lets assume that he luckily pulled a purple sock out
There are now 9 socks total because he pulled one out, and 5 purple socks left because we assumed he pulled a purple sock out
So the next pull's probability is:
5/9
So the probability that he will pull two purple socks is:
(6/10)*(5/9) = 1/3 or 33.3% if you convert it to a percentage
Well, let's do some math and probability tricks!
Since there are 6 purple socks in total, the probability that Zucky picks a purple sock on his first try is 6/10 (since there are 10 socks in total).
Now, if he didn't replace the first sock back into the drawer, there are now 9 socks left in total, with 5 purple socks left. Therefore, the probability that he picks a purple sock on his second try is 5/9.
To find the probability of both events occurring, we simply multiply the two probabilities together:
(6/10) * (5/9) = 30/90 = 1/3
So, the probability that Zucky picked 2 purple socks is 1/3. Good luck, Zucky!
To find the probability of picking 2 purple socks, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes = 10 socks
Since Zucky picks one sock without looking, there are now 9 socks left in the drawer.
Number of favorable outcomes = 6 purple socks
After picking the first sock, Zucky did not replace it, so there are now only 5 purple socks left in the drawer.
The probability of Zucky picking a purple sock as the second sock is:
Probability of picking a purple sock = 5/9
To calculate the probability of picking 2 purple socks, we multiply the probability of the first sock being purple by the probability of the second sock being purple:
Probability of picking 2 purple socks = (6/10) * (5/9)
Simplifying,
Probability of picking 2 purple socks = 30/90
Therefore, the probability that Zucky picked 2 purple socks is 1/3.
To find the probability that Zucky picked 2 purple socks, we need to determine the number of favorable outcomes (picking 2 purple socks) and the total number of possible outcomes (picking 2 socks without replacement).
First, let's calculate the total number of possible outcomes. Zucky picked one sock without looking, so there are 10 socks left in the drawer. When picking the second sock, there will be 9 socks remaining. Therefore, the total number of possible outcomes is 10 * 9 = 90.
To calculate the number of favorable outcomes (picking 2 purple socks), we need to consider that there are 6 purple socks out of the total 10 socks in the drawer. When Zucky picks the first sock, there are 6 purple socks to choose from. After picking the first purple sock, there will be 5 remaining purple socks out of the 9 socks left in the drawer. Hence, the number of favorable outcomes is 6 * 5 = 30.
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes.
So, the probability that Zucky picked 2 purple socks is 30/90 = 1/3 or approximately 0.3333 (33.33%).