0.45%
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The total number of gumballs is:
- 20 (red) + 35 (blue) = 55
The probability of drawing 1 red gumball is 20/55.
After drawing 1 red gumball, you have 19 red gumballs left out of a total of 54, so the probability becomes 19/54.
The third red gumball has a probability of 18/53.
The fourth has a probability of 17/52.
The fifth has a probability of 16/51.
To find the probability of drawing five red gumballs in a row, you multiply the individual probabilities together:
- (20/55) * (19/54) * (18/53) * (17/52) * (16/51) = 0.004456 or 0.45%.
Therefore, the probability of drawing five red gumballs in a row is 0.45%.