if a ball is selected at random from an urn containing two red balls, three white balls and five blue balls, what is the probability that it will be a white ball
3 whites out of 10 total balls makes
P(white) = 3/10
Well, let's see... the probability of selecting a white ball can be calculated by taking the number of white balls (which is three) and dividing it by the total number of balls in the urn (which is two red balls + three white balls + five blue balls, giving us a total of ten balls). So, the probability of selecting a white ball is three divided by ten, which can be simplified to three-tenths... or, in other words, not too great for those white balls! They might need some sunscreen at the beach to avoid getting too red from embarrassment!
To find the probability of selecting a white ball, we need to calculate the number of white balls in relation to the total number of balls in the urn.
The total number of balls in the urn is given as:
2 red balls + 3 white balls + 5 blue balls = 10 balls
The number of white balls is given as 3.
Therefore, the probability of selecting a white ball can be calculated as:
(Number of white balls) / (Total number of balls) = 3 / 10
The probability of selecting a white ball is 3/10, which can also be expressed as 0.3 or 30%.
To find the probability of selecting a white ball from the urn, we need to determine the number of favorable outcomes (selecting a white ball) and divide it by the total number of possible outcomes (selecting any ball).
First, let's calculate the number of favorable outcomes, which is the number of white balls in the urn. In this case, there are three white balls.
Next, we need to determine the total number of possible outcomes by adding up the number of balls in the urn. There are 2 red balls, 3 white balls, and 5 blue balls, so the total number of balls is 2 + 3 + 5 = 10.
Now, we can calculate the probability by dividing the number of favorable outcomes (3 white balls) by the total number of possible outcomes (10 balls):
Probability of selecting a white ball = Favorable outcomes / Total outcomes
= 3 / 10
= 0.3
Therefore, the probability of selecting a white ball is 0.3 or 30%.