Box A has 3 black marbles and 2 white ones, Box B has 2 black marbles and 1 white one. If i close my eyes and pick a blaack marble to win a prize, which box gives me the best chance of winning?
IT seems to me that box A has a chance of 3/5 and box B has a chance of 2/3
I know the fractional parts for each box but would i have abetter chance to win with box A ,Box B or with either one?
Which fraction is greater? Convert to a decimal if you are unsure.
To determine which box gives you the best chance of winning a black marble, you need to calculate the probability of picking a black marble from each box.
Let's start by calculating the probability for Box A:
Box A has a total of 5 marbles, 3 of which are black. Therefore, the probability of picking a black marble from Box A is:
Probability of picking a black marble from Box A = Number of black marbles in Box A / Total number of marbles in Box A
= 3 / 5
Now, let's calculate the probability for Box B:
Box B has a total of 3 marbles, 2 of which are black. Therefore, the probability of picking a black marble from Box B is:
Probability of picking a black marble from Box B = Number of black marbles in Box B / Total number of marbles in Box B
= 2 / 3
Comparing the two probabilities, we see that the probability of picking a black marble from Box A is 3/5, while the probability of picking a black marble from Box B is 2/3.
Hence, Box A gives you a slightly better chance of winning a black marble compared to Box B, based on the calculated probabilities.