Answer: [tex]\dfrac{1}{10}[/tex]
Step-by-step explanation:
Probability =[tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
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 .
[tex]P(E_1)=\dfrac{1}{6}[/tex]
Event 2 : drawing a yellow card .
[tex]P(E_2)=\dfrac{3}{5}[/tex]
Since both events are independent then probability of getting 3 on cube and a yellow card is [tex]P(E_1)\times P(E_2)[/tex]
i.e. [tex]\text{P(3, yellow)}=\dfrac{1}{6}\times\dfrac{3}{5}=\dfrac{1}{10}[/tex]
Hence, P(3, yellow)= [tex]\dfrac{1}{10}[/tex]
