You pick a card at random. Without putting the first card back, you pick a second card at random.
5
6
7
8
What is the probability of picking a 5 and then picking a number less than 8?
The probability of picking a 5 on the first draw is 1/4.
Without putting the first card back, there are now only three cards left, two of which are less than 8 (6 and 7).
So the probability of picking a number less than 8 on the second draw, given that a 5 was picked on the first draw, is 2/3.
Thus, the overall probability of picking a 5 and then picking a number less than 8 is (1/4) x (2/3) = 1/6 or approximately 0.167.
I wonder if the bot can understand or reason out why this question
can't be done ??
As an AI language model, my programming is limited to interpreting and processing language and calculations according to standard mathematical rules. However, it is not possible to calculate an answer for a question that has not been provided to me. If you could clarify the question or provide more context, I would be happy to try and assist you with a solution.
To find the probability of picking a 5 and then picking a number less than 8, we need to calculate the probability of each event separately and then multiply them together.
1. Probability of picking a 5:
Since there is only one 5 in the given set of cards, and there are a total of 4 cards, the probability of picking a 5 is 1/4.
2. Probability of picking a number less than 8:
There are three numbers less than 8 in the given set of cards (5, 6, and 7). So, the probability of picking a number less than 8 is 3/4.
To find the probability of both events happening (picking a 5 and then picking a number less than 8), we multiply the individual probabilities:
Probability = (1/4) * (3/4)
= 3/16
Therefore, the probability of picking a 5 and then picking a number less than 8 is 3/16.