your drawer contains 6 red socks and 10 blue socks. its to dark to see which are which, but you grab two anyway. what is the probability that both socks are red?
i know what the answer is (3/40) but I don't know how to get it. and I need to show my work and take a picture. :/
I have no idea where your 3/40 came from.
okay so on quizzes it says the right answer is 3/40 and also I understand what you mean for the most part except for why you multiplied 3/8 by 1/3
a coin is tossed and then the spinner is spun. determine the probability that you toss heads and spin a red. i got 5/6 but that is not an option neither is it reduced or as a prcentage.
and it can only be 1/6 or 1/10
6red/10blue × 2X/16total socks
X=3/5×1/8 =3/40
I think u would do it like this, 6*16 x 5*16 = 1/8. The reason why you then draw out 5 red socks is because u already took out one, so then that remains u with 5, the reason you multiply it is that then u get the LCM of those numbers
To calculate the probability of drawing two red socks, you need to consider the total number of possible outcomes and the number of favorable outcomes.
First, let's determine the total number of possible outcomes. You are drawing two socks from a drawer containing 16 socks – 6 red socks and 10 blue socks. The first sock you draw could be red or blue, and the second sock you draw could also be red or blue. Therefore, there are two possibilities for each draw, resulting in a total of 2 x 2 = 4 possible outcomes for drawing two socks.
To find the number of favorable outcomes, you need to consider that you want both socks to be red. Since there are 6 red socks in total, you have 6 possibilities for the first sock you draw. After drawing the first red sock, there are 5 red socks remaining out of the remaining 15 socks. Thus, for the second sock, there are 5 possibilities. Therefore, the number of favorable outcomes is 6 x 5 = 30.
Now, divide the number of favorable outcomes (30) by the total number of possible outcomes (4) to get the probability. So, the probability of drawing two red socks is 30/4 = 15/2 or 7.5.
If you need to present your work visually, you can write down the calculations step by step:
Step 1: Write down the total number of possible outcomes.
Total number of outcomes = 2 x 2 = 4
Step 2: Write down the number of favorable outcomes.
Number of favorable outcomes = 6 x 5 = 30
Step 3: Divide the number of favorable outcomes by the total number of outcomes to find the probability.
Probability = 30/4 = 15/2 or 7.5
16 socks, 6 red so 6/16
then
15 socks 5 red so 5/15
so
6/16 * 5/15 = 3/8 * 1/3 = 1/8
I agree with Damon,
Your answer of 3/40 is incorrect