There are some sweet in a bag. The sweet are green, red or yellow. The probability of choosing a green sweet at random from the bag is 3/11 the probability of choosing a red sweet at random from the bag is 5/11 what is the probability of choosing a yellow sweet from the bag? Give your answer as a fraction

Respuesta :

Answer:

[tex]p = \frac{3}{11}[/tex]

Step-by-step explanation:

We have these following probabilities:

3/11 probability of choosing a green sweet.

5/11 probability of choosing a red sweet.

p probability of choosing a yellow sweet.

The sum of these probabilities is decimal 1. So

[tex]p + \frac{3}{11} + \frac{5}{11} = 1[/tex]

[tex]\frac{11p + 3 + 5}{11} = 11[/tex]

[tex]11p + 8 = 11[/tex]

[tex]11p = 3[/tex]

[tex]p = \frac{3}{11}[/tex]

Answer:

the probability of choosing a yellow sweet from the bag is  [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

Given that;

The probability of choosing a green sweet at random from the bag is 3/11 the probability of choosing a red sweet at random from the bag is 5/11

probability of choosing a green sweet. is 3/11

probability of choosing a red sweet. is 5/11

probability of choosing a yellow sweet is x

we sum the probabilitity of green and red sweet

[tex]\frac{3}{11} + \frac{5}{11} = \frac{8}{11}[/tex]

To get the probability of choosing a yellow sweet

we subract the sumation of (probabilitity of green and red sweet) and 1

i.e 1 - 8/11

[tex]x =1-\frac{8}{11}[/tex]

= [tex]\frac{3}{11}[/tex]

Thus ,the probability of choosing a yellow sweet from the bag is  [tex]\frac{3}{11}[/tex]