QuestionWhich events include drawing the Red 3? Choose all that apply: $R$ AND $O$ , $B$ OR $E$ , $R^{\prime}$ , $E^{\prime}$ , $E$ OR $R$ .

Studdy Solution

STEP 1

Assumptions1. $R$ is the event of drawing a red card. . $B$ is the event of drawing a blue card.
3. $is the event of drawing an even numbered card.<br />4.$ is the event of drawing an odd numbered card.
5. $R'$ denotes the complement of event $R$ , which is the event of not drawing a red card.
6. $'$ denotes the complement of event $$, which is the event of not drawing an even numbered card.
7. The Red3 is the outcome we are considering.

STEP 2

Let's consider the first event, $R$ AND $$. This event is the intersection of the events of drawing a red card and drawing an odd numbered card.
The Red is a red card and it is also an odd numbered card. Therefore, the Red is an outcome in the event $R$ AND $$.

STEP 3

Next, consider the event $B$ OR $$. This event is the union of the events of drawing a blue card and drawing an even numbered card.
The Red3 is not a blue card and it is not an even numbered card. Therefore, the Red3 is not an outcome in the event $B$ OR $$.

STEP 4

Next, consider the event $R'$ . This is the event of not drawing a red card.
The Red3 is a red card. Therefore, the Red3 is not an outcome in the event $R'$ .

STEP 5

Next, consider the event $'$ . This is the event of not drawing an even numbered card.
The Red3 is an odd numbered card. Therefore, the Red3 is an outcome in the event $'$ .

STEP 6

Finally, consider the event $$ OR $R$. This event is the union of the events of drawing an even numbered card and drawing a red card.
The Red3 is a red card but it is not an even numbered card. Therefore, the Red3 is an outcome in the event $$ OR $R$.
The correct answers are $R$ AND , $'$, and OR $R$ .

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QuestionWhich events include drawing the Red 3? Choose all that apply: $R$ AND $O$ , $B$ OR $E$ , $R^{\prime}$ , $E^{\prime}$ , $E$ OR $R$ .

Studdy Solution

STEP 1

STEP 2

Let's consider the first event, $R$ AND $$. This event is the intersection of the events of drawing a red card and drawing an odd numbered card.
The Red is a red card and it is also an odd numbered card. Therefore, the Red is an outcome in the event $R$ AND $$.

STEP 3

Next, consider the event $B$ OR $$. This event is the union of the events of drawing a blue card and drawing an even numbered card.
The Red3 is not a blue card and it is not an even numbered card. Therefore, the Red3 is not an outcome in the event $B$ OR $$.

STEP 4

Next, consider the event $R'$ . This is the event of not drawing a red card.
The Red3 is a red card. Therefore, the Red3 is not an outcome in the event $R'$ .

STEP 5

Next, consider the event $'$ . This is the event of not drawing an even numbered card.
The Red3 is an odd numbered card. Therefore, the Red3 is an outcome in the event $'$ .

STEP 6

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QuestionWhich events include drawing the Red 3? Choose all that apply: RRR AND OOO, BBB OR EEE, R′R^{\prime}R′, E′E^{\prime}E′, EEE OR RRR.

Studdy Solution

STEP 1

STEP 2

Let's consider the first event, RRR AND $$. This event is the intersection of the events of drawing a red card and drawing an odd numbered card.The Red is a red card and it is also an odd numbered card. Therefore, the Red is an outcome in the event RRR AND $$.

STEP 3

Next, consider the event BBB OR $$. This event is the union of the events of drawing a blue card and drawing an even numbered card.The Red3 is not a blue card and it is not an even numbered card. Therefore, the Red3 is not an outcome in the event BBB OR $$.

STEP 4

Next, consider the event R′R'R′. This is the event of not drawing a red card.The Red3 is a red card. Therefore, the Red3 is not an outcome in the event R′R'R′.

STEP 5

Next, consider the event ′'′. This is the event of not drawing an even numbered card.The Red3 is an odd numbered card. Therefore, the Red3 is an outcome in the event ′'′.

STEP 6

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QuestionWhich events include drawing the Red 3? Choose all that apply: $R$ AND $O$ , $B$ OR $E$ , $R^{\prime}$ , $E^{\prime}$ , $E$ OR $R$ .

Let's consider the first event, $R$ AND $$. This event is the intersection of the events of drawing a red card and drawing an odd numbered card.
The Red is a red card and it is also an odd numbered card. Therefore, the Red is an outcome in the event $R$ AND $$.

Next, consider the event $B$ OR $$. This event is the union of the events of drawing a blue card and drawing an even numbered card.
The Red3 is not a blue card and it is not an even numbered card. Therefore, the Red3 is not an outcome in the event $B$ OR $$.

Next, consider the event $R'$ . This is the event of not drawing a red card.
The Red3 is a red card. Therefore, the Red3 is not an outcome in the event $R'$ .

Next, consider the event $'$ . This is the event of not drawing an even numbered card.
The Red3 is an odd numbered card. Therefore, the Red3 is an outcome in the event $'$ .