Question

A number cube is tossed and one card is randomly drawn. Find P(3, yellow) (BTW There are 5 cards 3 yellow 2 blue) The answer choice are: A. 1/30 B. 1/25 C.3/25 D.1/10

Answer 1

I believe its 1/10 because there are 10 cards 

Answer 2

Answer: $\dfrac{1}{10}$

Step-by-step explanation:

Probability =$\dfrac{\text{favorable outcomes}}{\text{total outcomes}}$

Given : A number cube is tossed and one card is randomly drawn.

Total outcomes for cube = 6

Total outcomes fro cards = 5

Number of yellow cards = 3

Event 1 : drawing 3 on cube .

$P(E_1)=\dfrac{1}{6}$

Event 2 : drawing a yellow card .

$P(E_2)=\dfrac{3}{5}$

Since both events are independent then probability of getting  3 on cube and a yellow card is $P(E_1)\times P(E_2)$

i.e. $\text{P(3, yellow)}=\dfrac{1}{6}\times\dfrac{3}{5}=\dfrac{1}{10}$

Hence, P(3, yellow)= $\dfrac{1}{10}$