In a box, there are 10 red bananas, 25 burro bananas and X Manzano bananas. If 30% of the total number of bananas in the box is Manzano bananas, then find the probability of selecting one Manzano banana and one red banana from the box?
A. 11/49
B. 6/49
C. 5/49
D. 9/49
E. None of these
Sol:
The number of red bananas=10
The number of burro bananas=25
The number of Manzano bananas=30*35/70=15
The probability of selecting one Manzano bananas=15C1
The probability of selecting one red bananas=10C1
The probability of selecting one Manzano bananas and one red banana
=15C1*10C1/50C2=15*10/(50*49/2)=6/49