Question

we have a deck of 10 cards numbered from 1 to 10. some are grey and some are white. the cards numbered 1, 7, and 9 are grey. the cards numbered 2, 3, 4, 5, 6, 8, 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. (b) subtract. 1 - p(not x) =

Explanation:

Step1: Recall the formula for complementary events

The formula for complementary events is \(1 - P(\text{not }X)=P(X)\).

Step2: Substitute the given value of \(P(\text{not }X)\)

We are given that \(P(\text{not }X)=\frac{7}{10}\). Substituting this into the formula \(1 - P(\text{not }X)\), we get \(1-\frac{7}{10}\).

Step3: Calculate the result

\(1-\frac{7}{10}=\frac{10 - 7}{10}=\frac{3}{10}\)

Answer:

\(\frac{3}{10}\)