A bag contains 30 blue beads, 10 red beads, and 35 yellow beads. Julia pulls a bead out of the bag at random, puts it aside, and then pulls another bead out of the bag at random. What is the probability that Julia will pull two red beads out of the bag?
4/225
Well, let's see. Julia has a total of 75 beads in the bag (30 blue, 10 red, and 35 yellow).
For the first pick, the probability of getting a red bead is 10/75, since there are 10 red beads out of 75 total beads.
Now, if Julia gets a red bead on the first pick, there will be 9 red beads left in the bag. So, for the second pick, the probability of getting another red bead is 9/74, since there will be a total of 74 beads left in the bag.
To find out the probability of both events happening, we multiply the individual probabilities: (10/75) * (9/74) = 90/5550.
Simplifying this fraction, we get 1/61.
Therefore, the probability that Julia will pull two red beads out of the bag is 1/61.
Now, put on your clown shoes and juggle those beads! 🤡
To find the probability of pulling two red beads out of the bag, we need to divide the number of ways to pull two red beads by the total number of possible outcomes.
The total number of beads in the bag is 30 + 10 + 35 = 75.
The number of ways to choose 2 red beads from the bag is given by the combination formula: C(10, 2).
C(n, r) = n! / (r!(n-r)!)
C(10, 2) = 10! / (2!(10-2)!)
= 10! / (2!8!)
= (10 * 9 * 8!) / (2! * 8!)
= (10 * 9) / (2 * 1)
= 45
The total number of possible outcomes is the number of ways to choose any 2 beads from the bag, which is given by the combination formula: C(75, 2).
C(75, 2) = 75! / (2!(75-2)!)
= 75! / (2!73!)
= (75 * 74) / (2 * 1)
= 2775
Therefore, the probability of pulling two red beads out of the bag is:
P = number of ways to pull two red beads / total number of possible outcomes
= 45 / 2775
= 1 / 61
Hence, the probability that Julia will pull two red beads out of the bag is 1/61.
To find the probability of Julia pulling two red beads out of the bag, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
When Julia pulls the first bead out of the bag, there are a total of 75 beads in the bag (30 blue + 10 red + 35 yellow). After removing the first bead, there are 74 beads left in the bag.
Favorable outcomes:
Since Julia wants to pull two red beads, there is only 1 red bead left after the first bead is removed. Therefore, the number of favorable outcomes is 1.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of outcomes:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 1 / 74
Thus, the probability that Julia will pull two red beads out of the bag is 1/74.
Wait I already know how to solve this you just do:
10/75*9/74 The answer is 90/5550 or simplified it is 3/185