What are the odds of picking 26 consecutive bingo balls out of a bag and not drawing any Bs, each letter of bingo has 15 balls, B 1-15, I 16-30, N 31-45, G 46-60, O 61-75. Once a ball is drawn out it can't be put back in the bag.

0.00069104  approximately.

Step-by-step explanation:

You must first calculate the probability of not taking a ball with the letter B.

It would be the sum of the probabilities of taking I, N, G and O.

The probability of getting the letter I would be 15/75, that is 1/5. The same would be for the letter N, G and O. Since the 4 probabilities are equal.

Therefore it would remain (1/5) * 4 = 4/5.

Then the probability of not drawing a letter B would be 4/5.

However, in the case that it does not go out for 26 balls and that the ball that was taken out is not taken into account. It would be the multiplication of all events, that is:

(60/75) * (59/74) * (58/73) * (57/72) * ... * (35/50)

 The result would be 0.00069104  approximately.

a 10 percent increase