Question

A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos

Imagine you stick your hand into the refridgerator and pull out a piece of fruit at random. what is the sample space for this process?
a. s={apple, orange, banana, pear, plum, mango}
b. s= {6,5,10,3,7,11,2}c. s= {6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, 2 mangos

Answer 1

s={apple, orange, banana, pear, peach, plum, mango} (option A)

Explanation:

The sample space of an experiment is the set of all possible outcomes of that experiment.

The sample space is essential in finding the probability of an event associated with a random experiment.

In this question, the set of all possible outcomes of the experiment are apples, oranges, bananas, pears, peaches, plums and mangos.

Therefore the sample space for the process is: s={apple, orange, banana, pear, peach, plum, mango} (option A)

Where s = sample space

Though peach was omitted in the set in option A by mistake, the correct answer:

s={apple, orange, banana, pear, peach, plum, mango}