Three urns of the same appearance are given as follows: Urn A contains 5 red and 7 white balls. Urn B contains 4 red and 3 white balls. Urn C contains 3 red and 4 white balls. An urn is selected at random and ball is drawn from the urn. (1) What is the probability that the ball drawn is red. (2) If the ball drawn is red, what is the probability that it came from urn A.
Answers
a) The probability that the ball drawn is red is approximately 0.4615
b) If the ball drawn is red, the probability that it came from urn A is approximately 0.7222.
To calculate the probabilities, we can use the following formulas:
a) Probability of drawing a red ball (R):
P(R) = (Number of red balls) / (Total number of balls)
b) Probability that the ball came from urn A given that it is red (R|A):
P(R|A) = (Probability of drawing a red ball from urn A) / (Probability of drawing a red ball)
Let's calculate both probabilities:
a) Probability of drawing a red ball:
Total number of red balls = 5 (Urn A) + 4 (Urn B) + 3 (Urn C) = 12
Total number of balls = 5 (Urn A) + 7 (Urn A) + 4 (Urn B) + 3 (Urn B) + 3 (Urn C) + 4 (Urn C) = 26
P(R) = 12 / 26 ≈ 0.4615
b) Probability that the ball came from urn A given that it is red:
P(R|A) = (Probability of drawing a red ball from urn A) / (Probability of drawing a red ball)
P(R|A) = (5 / 12) / (12 / 26) = (5 / 12) * (26 / 12) ≈ 0.7222
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Answer:
1. 12/26, or simplified as 6/13, or about 46%.
2. 5/26, or about 19%.
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Answer:
Step-by-step explanation:
The formula for the area of a triangle is :
To work this out you would first have to work out the area of the triangle. You can do this by multiplying the base of 14 by the height of 14, this gives you 196.
The next step is to divide the answer of 196 by 2, this gives you 98. This is because the formula is the same as that for the area of a square and that a triangle would be half of a square with the same dimensions.
The final step is to multiply 98 by the length of 20, this gives you 1960 meters cubed.
1) Multiply 14 by 14.
2) Divide 196 by 2.
3) Multiply 98 by 20.
Answer:
volume = area of triangle * height = 12.124355653*14/2 * 20 = 1697.40 m3
Step-by-step explanation:
the triangle is equilateral triangle ->
a^2 = 14^2 - 7^2 = 147
-> a = 12.124355653
volume = area of triangle * height = 12.124355653*14/2 * 20 = 1697.40 m3
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(16/44÷4=4/11)
when you simplify 8/22 you get 4/11 which is the least simplify form for 16/44.
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Hi Shawn
-24>-3p+3
First thing we need to do is to change them side (Flip)
-3p+3<-24
Now we need to subtract 3 from both sides
-3p=3-3<-24-3
-3p<-27
Divide both sides by -3 so we can find the value for p
-3p/-3<-27/-3
p>9
I hope that's help ! Please if you have question ask ↓↓↓↓