Your last bag of Halloween candy contains 3 fruit candies, 2 chocolates, 5 caramels and 6 sour chews. If you pick a candy at random, what is the probability it will be caramel or chocolate?

Respuesta :

Answer:

[tex]\frac{7}{16}[/tex]

Step-by-step explanation:

Halloween candy contains 3 fruit candies, 2 chocolates, 5 caramels and 6 sour chews

So, total candies = 3 fruit candies+2 chocolates+5 caramels + 6 sour chews

                             = 16

Thus total no. of candies = 16

Probability of occurring an event = [tex]\frac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

To find the probability of getting caramel or chocolate :

Favorable events : 5 caramels + 2 chocolates = 7

Total events = Total candies = 16

So, probability of getting caramel or chocolate:

 = [tex]\frac{7}{16}[/tex]

Hence ,The probability of getting caramel or chocolate is [tex]\frac{7}{16}[/tex]

Answer: Probability of getting caramel or chocolate is [tex]\frac{7}{16}[/tex]

Step-by-step explanation:

Since we have given that

Number of fruit candies = 3

Number of chocolates = 2

Number of caramels = 5

Number of sour chews = 6

Total number of items is given by

[tex]3+2+5+6\\\\=16[/tex]

Probability of getting caramel or chocolate is given by

[tex]P(Caramel)+P(Chocolate)\\\\=\frac{5}{16}+\frac{2}{16}\\\\=\frac{7}{16}[/tex]

Hence, Probability of getting caramel or chocolate is [tex]\frac{7}{16}[/tex]