question 4\na special deck of cards has 5 red cards, and 4 purple cards. the red cards are numbered 1, 2, 3…

question 4\na special deck of cards has 5 red cards, and 4 purple cards. the red cards are numbered 1, 2, 3, 4, and 5. the purple cards are numbered 1, 2, 3, and 4. the cards are well shuffled and you randomly draw one card.\nr = card drawn is red\ne = card drawn is even - numbered\na. how many elements are there in the sample space?\nenter an integer or decimal number more..\nb. p(r)=\nround your answer to three decimal places.\nb. p(e)=\nround your answer to three decimal places.\nhint: sample space and probability\nvideo on probability +\ntextbook

question 4\na special deck of cards has 5 red cards, and 4 purple cards. the red cards are numbered 1, 2, 3, 4, and 5. the purple cards are numbered 1, 2, 3, and 4. the cards are well shuffled and you randomly draw one card.\nr = card drawn is red\ne = card drawn is even - numbered\na. how many elements are there in the sample space?\nenter an integer or decimal number more..\nb. p(r)=\nround your answer to three decimal places.\nb. p(e)=\nround your answer to three decimal places.\nhint: sample space and probability\nvideo on probability +\ntextbook

Answer

Explanation:

Step1: Calculate sample - space size

The total number of cards is the sum of red and purple cards. There are 5 red cards and 4 purple cards. So, the number of elements in the sample space $n(S)=5 + 4=9$.

Step2: Calculate $P(R)$

The probability of an event $P(A)=\frac{n(A)}{n(S)}$. For event $R$ (drawing a red card), $n(R) = 5$ and $n(S)=9$. So, $P(R)=\frac{5}{9}\approx0.556$.

Step3: Calculate $P(E)$

The even - numbered cards are red 2, 4 and purple 2, 4. So, $n(E)=4$. Then $P(E)=\frac{4}{9}\approx0.444$.

Answer:

a. 9 b. 0.556 c. 0.444