Given:
Slips of paper numbered 1 to 15 are placed in a box.
To find:
The probability that the number picked is either a multiple of 5 or an odd number.
Solution:
We have,
Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
No. of total outcomes = 15
Multiple of 5 are 5, 10, 15.
Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.
Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.
No. of favorable outcomes = 9
We know that,
![\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
![\text{Probability}=\dfrac{9}{15}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B9%7D%7B15%7D)
![\text{Probability}=\dfrac{3}{5}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B3%7D%7B5%7D)
![\text{Probability}=0.6](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D0.6)
Therefore, the probability that the number picked is either a multiple of 5 or an odd number is 0.6.