Answer:
0.375
Step-by-step explanation:
The probability of having at least one girl out of 3 children can be calculated as;
P(1 girl, 2 boys) or P(2 girls, 1 boy) or P(3 girls)
Since the P(b) = P(g) = 1/2
Then the probability at any point in time is 1/2 * 1/2 * 1/2 = 1/8
So we have ;
1/8 + 1/8 + 1/8 = 3/8 = 0.375
b. False
P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52
P(X) × P(Y) = 0.65×0.77 = 0.5004
Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent
