Answer:
a) 2/44 = 0.045
b) 9/22 = 0.409
Step-by-step explanation:
a) The probability the first can is diet soda is 3/12.
The probability the second can is diet soda is 2/11.
The probability of both is (3/12) (2/11) = 2/44 ≈ 0.045.
Alternatively, you can use combinations:
₃C₂ × ₉C₀ / (₁₂C₂) = 2/44
b) If the first can is diet soda, and the second can isn't, the probability is (3/12) (9/11) = 9/44.
If the first can isn't diet soda, and the second can is, the probability is (9/12) (3/11) = 9/44.
The total probability is 9/44 + 9/44 = 9/22 ≈ 0.409.
Alternatively, using combinations:
₃C₁ × ₉C₁ / (₁₂C₂) = 9/22
