Final Answer:
The event most likely to occur among the options provided is "choosing a boy randomly in a class of 10 boys and 15 girls."
Step-by-step explanation:
Absolutely, here are the calculations for each event's probability:
1. Drawing a heart randomly out of a pile of 10 hearts and 9 spades:
Total cards = 10 hearts + 9 spades = 19 cards
Probability of drawing a heart = Number of hearts / Total cards = 10/19
2. Correctly choosing a random number between 1 and 50:
Total numbers = 50 (from 1 to 50)
Probability of choosing any specific number = 1 / Total numbers = 1/50
3. Choosing a girl randomly in a class of 8 boys and 17 girls:
Total students = 8 boys + 17 girls = 25 students
Probability of choosing a girl = Number of girls / Total students = 17/25
4. Choosing a boy randomly in a class of 10 boys and 15 girls:
Total students = 10 boys + 15 girls = 25 students
Probability of choosing a boy = Number of boys / Total students = 10/25
Now, let's discuss these probabilities further:
1. The probability of drawing a heart from a pile of 10 hearts and 9 spades is 10/19, making it less likely than other events due to the smaller number of hearts relative to the total cards.
2. Selecting a random number between 1 and 50 results in each number having an equal chance (1/50) since there are 50 numbers in total.
3. In a class of 8 boys and 17 girls, the probability of choosing a girl randomly is 17/25 because there are 17 girls out of 25 total students.
4. Lastly, in a class of 10 boys and 15 girls, the probability of choosing a boy randomly is 10/25, indicating a higher likelihood than the other events due to the larger number of boys in the class.
Hence, based on these calculations, choosing a boy randomly in a class of 10 boys and 15 girls has the highest probability among the given options.