The salsa consists of 65% tomatoes, which amounts to 5.2 cups.
Let’s denote the total salsa as "x" cups, representing 100%. Given that 5.2 cups makes up 65%, we have:
An urn contains two blue balls (denoted B1 and B2) and three white balls (denoted W1, W2, and W3). One ball is drawn, its color
1 answer:
Answer:
(a) As shown below.
(b) The likelihood that the first ball drawn is blue is 0.40.
(c) The chance that only white balls are drawn is 0.36.
Step-by-step explanation:
The balls present in the urn include:
Blue balls: B₁ and B₂
White balls: W₁, W₂ and W₃
It is stated that two balls will be drawn with replacement, and their colors noted.
(a)
The potential outcomes for selecting two balls are listed as follows:
B₁B₁ B₂B₁ W₁B₁ W₂B₁ W₃B₁
B₁B₂ B₂B₂ W₁B₂ W₂B₂ W₃B₂
B₁W₁ B₂W₁ W₁W₁ W₂W₁ W₃W₁
B₁W₂ B₂W₂ W₁W₂ W₂W₂ W₃W₂
B₁W₃ B₂W₃ W₁W₃ W₂W₃ W₃W₃
There are a total of N = 25 possible outcomes.
(b)
The sample space for drawing a blue ball first is:
S = {B₁B₁, B₁B₂, B₁W₁, B₁W₂, B₁W₃, B₂B₁, B₂B₂, B₂W₁, B₂W₂, B₂W₃}
n(S) = 10
Hence, the probability of the first ball being blue is calculated as follows:
Thus, the probability of the first ball drawn being blue is 0.40.
(c)
The sample space for drawing only white balls is:
X = {W₁W₁, W₂W₁, W₃W₁, W₁W₂, W₂W₂, W₃W₂, W₁W₃, W₂W₃, W₃W₃}
n(X) = 9
The probability that only white balls are drawn can be computed as such:
Thus, the probability that only white balls are drawn is 0.36.
You might be interested in
Answer:
(12, 3), (-2, -5), (1, 15)
Step-by-step explanation:
The line may intersect any point where the x-coordinate is positive and the y-coordinate exceeds -1. Such points include...
(12, 3), (1, 15)
The line can also cross any point where the x-coordinate is negative while the y-coordinate is lower than -1. That point is...
(-2, -5)
__
In the provided diagram, the lines colored green demonstrate a positive slope, while the red lines do not.
