Question

A ball was picked at random from a bag of red and black balls 13 times. 6 of the picked balls were red and remaining were black. Which ball has a greater chance of being picked on the ${14}^{th}$ pick?

• A. Red Marble
• B. Black Marble
• C. Both are Equally Likely to be picked.

Answer 1

The correct option is B Black Marble

In experimental probability, the probability of picking a ball in the next trial is based on the previous picks.

$P\left(RedBall\right)=\frac{6}{13}$

$P\left(BlackBall\right)=\frac{13-6}{13}=\frac{7}{13}$

Since, black balls are picked more frequently than red balls, we will be more likely to pick a black ball on the ${14}^{th}$ pick.