Respuesta :
The probability that the card is not yellow is [tex]\frac{5}{9}[/tex]
Solution:
The probability of an event is given as:
[tex]Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}[/tex]
From given,
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards
Total number of possible outcomes = 8 + 8 + 2 = 18
Favorable outcome = card is not yellow
Favorable outcome = card is blue or green = 8 + 2 = 10
Therefore,
[tex]Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}[/tex]
Thus the probability that the card is not yellow is 5/9
The probability that the chosen card is not yellow = [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Step 1 :
Given,
Number of blue cards in the box = 8
Number of yellow cards in the box = 8
Number of green cards in the box = 2
Hence total number of cards = 18
We need to find the probability that the chosen card is not yellow.
Step 2 :
Probability that the selected card is yellow = [tex]\frac{8}{18}[/tex] = [tex]\frac{4}{9}[/tex] [since the favorable outcome = 8 and total outcome = 18]
Hence the probability of chosen card not being yellow = 1 - [tex]\frac{4}{9}[/tex] = [tex]\frac{5}{9}[/tex]
Step 3 :
Answer :
The probability of chosen card not being yellow = [tex]\frac{5}{9}[/tex]
