Question

A computer chooses a number at

random from a list of 6 different
positive, single-digit numbers. The
probabilities of different events are
shown in the table below. Use this
information to find the 6 numbers
the computer is choosing from.
Event
Number chosen is prime
Number chosen is less than 5
Number chosen is even
Probability
~|~ -|M
50%

Answer 1

Explanation:

Based on the provided probabilities, we can deduce the 6 numbers the computer is choosing from:

1. The probability of choosing a prime number is 50%. This means that half of the numbers in the list must be prime.

2. The probability of choosing a number less than 5 is also 50%. This indicates that the other half of the numbers in the list must be less than 5.

3. Additionally, the probability of choosing an even number is not specified, but since the list contains only single-digit numbers and half of them are less than 5, it implies that the other half (greater than or equal to 5) must be even numbers to maintain the balance.

So, the 6 numbers the computer is choosing from are:

1. 2 (Prime and less than 5)

2. 3 (Prime and less than 5)

3. 4 (Even and less than 5)

4. 5 (Prime and greater than or equal to 5)

5. 6 (Even and greater than or equal to 5)

6. 7 (Prime and greater than or equal to 5)

These are the 6 different positive, single-digit numbers from which the computer is choosing, and they correspond to the specified probabilities.