A botanist has four apple buds and two rose buds in separate baskets on the same table. What is the probability of successfully selecting one of each?
The probability of successfully selecting one of each is 1/3.
Well, let's calculate that probability, shall we? We have a total of six buds, and we want to select one apple bud and one rose bud. So, the probability of selecting an apple bud first is 4 out of 6, and after that, the probability of selecting a rose bud is 2 out of the remaining 5.
To find the total probability, we multiply these probabilities together:
(4/6) * (2/5) = 8/30 = 4/15.
So, the probability of successfully selecting one apple bud and one rose bud is 4/15. Now, let's hope those buds bloom into majestic beauties! 🌹🍎
To calculate the probability of successfully selecting one apple bud and one rose bud, we need to find the probability of selecting an apple bud multiplied by the probability of selecting a rose bud.
The probability of selecting an apple bud from four apple buds would be:
P(Apple) = Number of favorable outcomes / Total number of possible outcomes
Since there are four apple buds, the total number of possible outcomes is four.
Therefore, P(Apple) = 4/4 = 1/1 = 1
The probability of selecting a rose bud from two rose buds would be:
P(Rose) = Number of favorable outcomes / Total number of possible outcomes
Since there are two rose buds, the total number of possible outcomes is two.
Therefore, P(Rose) = 2/2 = 1/1 = 1
To find the probability of successfully selecting one apple bud and one rose bud, we multiply the probabilities:
P(Apple and Rose) = P(Apple) * P(Rose)
P(Apple and Rose) = 1 * 1 = 1
Therefore, the probability of successfully selecting one apple bud and one rose bud is 1, or 100%.
To calculate the probability of successfully selecting one apple bud and one rose bud, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
Since there are four apple buds and two rose buds, the total number of possible outcomes is the product of the two: 4 x 2 = 8.
Number of favorable outcomes:
The favorable outcomes are when one apple bud and one rose bud are selected. We can multiply the number of choices for each type of bud: 4 x 2 = 8.
Therefore, the number of favorable outcomes is 8.
Probability:
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 8 / 8
= 1
So, the probability of successfully selecting one apple bud and one rose bud is 1 or 100%.