The likelihood or probability that she will give the first student a blue calculator and the second student a yellow calculator is 6.6%.
The math teacher Mrs. Piatt has six black, nine yellow, and two blue calculators.
Therefore, the total number of calculators is 17.
The probability that she hands out a blue calculator to the first student is:
P₁ = Number of blue calculators/ Total number of calculator
P₁ = 2/17
Now, as a calculator is handed out to a student. Then the remaining number of calculators is 16.
Therefore, the probability that the second student gets a yellow calculator will:
P₂ = Number of yellow calculators/ Total number of calculators.
P₂ = 9/16
Therefore, the probability that she will hand out a blue calculator to the first student, then hand out a yellow calculator second will be:
P = P₁ × P₂
P = 2/17 × 9/16
P = 18/272
P = 0.06617647058
P = 6.6%
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