Questions: We have a deck of 10 cards numbered from 1 to 10. Some are grey and some are white. The cards numbered 1,2,3,5,6,8, and 9 are grey. The cards numbered 4,7, and 10 are white. A card is drawn at random. Let X be the event that the drawn card is grey, and let P(X) be the probability of X. Let not X be the event that the drawn card is not grey, and let P (not X) be the probability of not X. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Event Outcomes Probability - 1 2 3 4 5 6 7 8 9 10 - X P(X)= - not X P(not X)= (b) Subtract. 1-P(not X)=

We have a deck of 10 cards numbered from 1 to 10. Some are grey and some are white. The cards numbered 1,2,3,5,6,8, and 9 are grey. The cards numbered 4,7, and 10 are white. A card is drawn at random. Let X be the event that the drawn card is grey, and let P(X) be the probability of X. Let not X be the event that the drawn card is not grey, and let P (not X) be the probability of not X. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Event Outcomes Probability - 1 2 3 4 5 6 7 8 9 10 - X P(X)= - not X P(not X)= (b) Subtract. 1-P(not X)=
Transcript text: We have a deck of 10 cards numbered from 1 to 10. Some are grey and some are white. The cards numbered $1,2,3,5,6,8$, and 9 are grey. The cards numbered 4,7, and 10 are white. A card is drawn at random. Let $X$ be the event that the drawn card is grey, and let $P(X)$ be the probability of $X$. Let not $X$ be the event that the drawn card is not grey, and let $P$ (not $X$) be the probability of not $X$. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow{2}{*}{ Event } & \multicolumn{7}{|c|}{ Outcomes } & Probability \\ \hline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & \\ \hline$X$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $P(X)=\square$ \\ \hline $\operatorname{not} X$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $P(\operatorname{not} X)=\square$ \\ \hline \end{tabular} (b) Subtract. \[ 1-P(\operatorname{not} X)= \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Total Number of Items (N)

The total number of items in the set is 10.

Step 2: Identify the Number of Items with the Specified Attribute (M)

The number of items with the attribute 'grey' is 7.

Step 3: Calculate the Probability (P)

The probability of drawing an item with the attribute 'grey' is calculated as follows: \[P = \frac{M}{N} = \frac{7}{10} = 0.7\]

Step 4: Calculate the Probability of Not Drawing an Item with the Specified Attribute (P(not X))

The probability of not drawing an item with the attribute 'grey' is calculated as follows: \[P(\text{not } X) = 1 - P(X) = 1 - 0.7 = 0.3\]

Final Answer:

The probability of drawing an item with the attribute 'grey' is 0.7, while the probability of not drawing an item with the attribute 'grey' is 0.3.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
x^2 + 4x + 7 = -1
failedAnswered
The circle above is tangent to both the horizontal and vertical lines. It also touches the corner of the .5 by .75 rectangle. Solve for the radius of the circle. A r ≈ 5.27 B r ≈ 8.25 C r ≈ 15.71 D r ≈ 2.57 E none of these
failedAnswered
f(x)=sqrt[3]2 x g(x)=3 x+1 Find (f/g)(x). Include any restrictions on the domain. A. (f/g)(x)=(3 x+1)/sqrt[3]2 x, x ≠ 0 B. (f/g)(x)=(3 x+1)/sqrt[3]2 x, x ≥ 0 C. (f/g)(x)=sqrt[3]2 x/(3 x+1), x ≠ -3 D. (f/g)(x)=sqrt[3]2 x/(3 x+1), x ≠ -1/3
failedAnswered
Let the limit as x approaches 7 of f(x) be 18 and the limit as x approaches 7 of g(x) be 15. Use the limit rules to find the limit below. The limit as x approaches 7 of [f(x)-g(x)] What expression results from applying the appropriate limit rule? Find the limit. The limit as x approaches 7 of [f(x)-g(x)] = (Simplify your answer.)
failedAnswered
Suppose that the functions g and f are defined as follows. g(x)=x-1 f(x)=(x+3)(x+1) (a) Find (g/f)(-6) (b) Find all values that are NOT in the domain of g/f. If there is more than one value, separate them with commas. (a) (g/f)(-6)= (b) Value(s) that are NOT in the domain of g/f :