i have some algebra questions please fill all blanks with CO

i have some algebra questions. please fill all blanks with CORRECT answers.

Solution

We know that When two events, X and Y, are independent, the probability of both occurring is P(X and Y) = P(X) *P(Y).

1.There are 3 big prizes, 1 medium and 2 little prizes. There are 3 big prizes, 1 medium and 2 little prizes. The probability of selecting a big prize without looking is , therefore, 3/6 = ½ = 0.5.Further, the probability of picking a gold (G) ball in the big prize is 6/12 = ½ = 0.5. Then P(B|G)= 0.5*0.5 = 0.25.

2. P(D|N) = 0.03*0.01 = 0.0003.

P(D^C|Y) = 0.97*0.02 = 0.0194

P(D^C|N) = 0.97*0.98 = 0.9506