61.0k views
5 votes
which event has a probability closest to 1? Choosing a boy randomly in a class of 10 boys and 10 girls, drawing a heart randomly out of a pile of 4 hearts and 8 spades, correctly choosing a random number between 1 and 10, choosing a girl randomly in a class of 8 girls and 12 boys

User Tawa
by
7.9k points

1 Answer

1 vote

Answer:

Choosing a boy randomly in a class of 10 boys and 10 girls

Explanation:

The probability of choosing a boy randomly in a class of 10 boys and 10 girls is calculated as;

(number of boys)/ (total number of students in the class)

= 10/(10+10) = 10/20 = 1/2

The probability of drawing a heart randomly out of a pile of 4 hearts and 8 spades is calculated as;

4/(4+8) = 4/12 = 1/3

The probability of correctly choosing a random number between 1 and 10 is simply 1/10 since the numbers are have a uniform distribution and thus equally likely to be selected.

The probability of choosing a girl randomly in a class of 8 girls and 12 boys is calculated as;

(number of girls)/ (total number of students in the class)

= 8/20 = 2/5

Thus choosing a boy randomly in a class of 10 boys and 10 girls is the event which has a probability closest to 1.

User Beckettsean
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories