Question

Each disc is labelled with a different number from 1 to 10

Adinis chosen from the bag at random
Write down the probability that the chosen disc is
(a) the number 3
(b) a number loss than four
(c) a square number
(d) a prime number

Answer 1

The probabilities for selecting specific discs from a set labeled 1 to 10 are 0.10 for disc 3, 0.30 for a number less than 4, 0.30 for a square number, and 0.40 for a prime number.

Step-by-step explanation:

The question asks us to calculate the probability of selecting a particular numbered disc from a set of 10 discs, each labeled with a unique number from 1 to 10.

• (a) The probability of choosing the disc numbered 3 is 1 out of 10, or 0.10.
• (b) The probability of choosing a disc with a number less than four (1, 2, or 3) is 3 out of 10, or 0.30.
• (c) The square numbers between 1 and 10 are 1, 4, and 9. Thus, the probability of choosing a square number is 3 out of 10, or 0.30.
• (d) The prime numbers between 1 and 10 are 2, 3, 5, and 7. Therefore, the probability of choosing a prime number is 4 out of 10, or 0.40.

These probabilities are calculated assuming each disc has an equal chance of being selected.