Question

A deck of cards contains RED cards numbered 1,2,3,4,5 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Red 5 is one of the outcomes in which of the following events? Select all correct answers.

Select all that apply:

• E′

• R OR E

• B AND O

• B AND E

• R AND O

• O′

Answer 1

R = Red cards {R1, R2, R3, R4, R5}

B= Blue cards {B1, B2, B3, B4}

E= Even cards {R2, R4, B2, B4} E^' = Odd cards {R1, R3, R5, B1, B3}

O = Odd cards {R1, R3, R5, B1, B3}   O^' = Even cards {R2, R4, B2, B4}

Red 5 will be in the following events:

1. E' [ Explanation : the event of drawing an odd card and 5 is an odd number]

2. R or E [Explanation: the event is union of all R and E. So Red 5 will be part of this event]

R or E = {R1, R2, R3, R4, R5, B2, B4}

3. R and O [Explanation: the event is intersection of all R and E. So Red 5 will be part of this event as it is red card with odd no]

R O = { R1, R3, R5}

ANS: E' , R or E, R and O