While getting dressed for school early one morning, the light in Toni's bedroom burned out. Toni knew he had plenty of clean socks in his drawer, but none of them were matched. He had 24 white socks and 6 blue socks. What is the probabilty of Toni finding 2 white socks or 2 blue socks in the dark? White_____ Blue____
P(2 white or 2 Blue)=P(2 white)+ p(2 blue)= 2/24 + 2/6=5/12
not quite that easy
you start with 30 socks
p first blue =6/30
p second blue = 5/29
so .2*5/29
product is p2 blue
p first white = 24/30
p second white = 23/29
product is p 2 white
so add
.2*5/29 + 24*23/(29*30)
Ashley and Damon thank you so much !!! You guys helped me alot
You are welcome :)
To find the probability of Toni finding 2 white socks or 2 blue socks in the dark, we need to calculate the probability of each event separately and then add them together.
Let's start with the probability of finding 2 white socks. Toni has a total of 24 white socks in his drawer, so for the first sock, the probability of picking a white sock is 24/30 (since there are 30 socks in total). After picking one white sock, there will be 23 white socks left out of 29 socks, so the probability of picking a second white sock is 23/29. To find the probability of both events happening (picking 2 white socks), we multiply these probabilities together:
(24/30) * (23/29) = 552/870 ≈ 0.6345
Now let's calculate the probability of finding 2 blue socks. Toni has 6 blue socks in his drawer, so for the first sock, the probability of picking a blue sock is 6/30. After picking one blue sock, there will be 5 blue socks left out of 29, so the probability of picking a second blue sock is 5/29. Multiplying these probabilities gives us:
(6/30) * (5/29) = 30/870 ≈ 0.0345
Finally, to find the probability of either event happening (picking 2 white socks or 2 blue socks), we add the probabilities together:
0.6345 + 0.0345 = 0.669
Therefore, the probability of Toni finding 2 white socks or 2 blue socks in the dark is approximately 0.669.