Answer:
0.789
Step-by-step explanation:
Number of beef flavored Ramen noodles = 10
Number of chicken flavored Ramen noodles = 10
Total number of noodles = 20
Number of ways to select 3 packages:
[tex]_{20}C_3= \dfrac{20\times 19\times 18}{3\times 2\times 1}=1140[/tex]
Number of ways to select two beef flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45
Number of ways to select one chicken flavored Ramen noodle = 10
Number of ways to select two chicken flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45
Number of ways to select one chicken flavored Ramen noodle = 10
Total number of ways so that one chicken and one beef Ramen selected = 450 + 450 = 900
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Required probability is:
[tex]\dfrac{900}{1140} = 0.789[/tex]
