A bucket contains the following vegetables. 1 squash 2 carrots 4 heads of broccoli 2 artichokes and 5 green beans Ronnie picks a vegetable at random snd does not replace it. Then Sydney picks a vegetable at random Whst is the probability that Ronnie gets a carrot and Sydney gets a green bean? Help!!!
There are a total of 14 vegetables in the bucket.
The probability that Ronnie picks a carrot is 2/14 or 1/7.
After Ronnie picks a vegetable, there are now 13 vegetables in the bucket. The probability that Sydney picks a green bean is 5/13 (since there are still 5 green beans left, but there are now 13 vegetables in total).
To find the probability of both events happening (Ronnie getting a carrot and Sydney getting a green bean), we multiply the probabilities:
(1/7) * (5/13) = 5/91
Therefore, the probability that Ronnie gets a carrot and Sydney gets a green bean is 5/91.
The probability of a basketball player making a basket is 1/5. How many baskets would you expect her to make after 40 shots?
The expected number of baskets is equal to the probability of making a basket multiplied by the number of shots taken.
Expected number of baskets = probability of making a basket x number of shots taken
In this case, the probability of making a basket is 1/5, and the number of shots taken is 40.
Expected number of baskets = (1/5) x 40 = 8
Therefore, we would expect the basketball player to make 8 baskets after 40 shots.
To find the probability that Ronnie gets a carrot and Sydney gets a green bean, we need to first calculate the total number of possible outcomes and the number of favorable outcomes.
Total Number of Outcomes:
Since Ronnie picks a vegetable at random without replacement, there will be one less vegetable in the bucket for Sydney to pick from. Therefore, the total number of outcomes is the sum of the total number of vegetables in the bucket minus 1.
Total Number of Vegetables = 1 squash + 2 carrots + 4 heads of broccoli + 2 artichokes + 5 green beans = 14
Total Number of Outcomes = Total Number of Vegetables - 1 = 14 - 1 = 13
Number of Favorable Outcomes:
Ronnie needs to pick a carrot, and there are 2 carrots in the bucket.
Number of Favorable Outcomes = 2
Probability Calculation:
The probability is calculated by dividing the number of favorable outcomes by the total number of outcomes.
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Probability = 2 / 13 ≈ 0.154 or 15.4%
Therefore, the probability that Ronnie gets a carrot and Sydney gets a green bean is approximately 0.154 or 15.4%.