Question

Eric places two cards of red and blue colour in a box. A card is drawn at random from the box, and a die is tossed. What is the probability of drawing a red coloured card and rolling an even number?

• A.
  
  $\frac{1}{3}$
• B.
  
  $\frac{1}{4}$
• C.
  
  $\frac{1}{12}$
• D.
  
  $\frac{1}{13}$

Answer 1

The correct option is B


$\frac{1}{4}$
The possible outcomes are:

(Red, 1), (Red, 2), (Red, 3), (Red, 4), (Red, 5), (Red, 6)

(Blue, 1), (Blue, 2), (Blue, 3), (Blue, 4), (Blue, 5), (Blue, 6)
Here, total number of possible combinations are 12.

The favourable outcomes are (Red, 2), (Red, 4), (Red, 6)

$\therefore$ Number of favourable outcomes = 3

Number of total possible outcomes = 12

$\therefore$ Required probability

$=\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}=\frac{3}{12}=\frac{1}{4}$

Hence, the correct answer is option (b).