Question

A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3. 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 Blue 2 is one of the outcomes in which of the following events?

a. R OR O
b. B AND O
c. R OR E
d. R AND O
e. R′
f. E

Answer 1

Blue 3

E'

B AND O

Explanation:

Answer 2

Answer: c. R OR E

e. R′

f. E

Explanation:

Outcomes for Red card ={1,2,3,4,5,6} = 6

Outcomes of Blue card = {1,2,3} =3

R = event of drawing a red card, B = event of drawing a blue card, E=event of drawing an even numbered card, and O = event of drawing an odd card.

Then, R= {1R,2R,3R,4R,5R,6R} , B= {1B,2B,3B}

E={2R, 4R, 6R , 2B}

O = {1R, 3R, 5R, 3B}

R or O = { 1R,2R,3R,4R,5R,6R ,3B} [all elements of R and O]

B and O = {3B} [all elements common in B and O]

R or E = {1R,2R,3R,4R,5R,6R,2B }

R and O = {1R, 3R, 5R} [all elements common in R and O]

R' = B= {1B,2B,3B} [all elements except R]

Blue 2 = 2B belongs to B, R or E, R' and E.

Correct options are c. e. f.