
Concept explainers
To find: The probability that the spinner lands on 2 and 5 respectively after it’s spun twice.

Answer to Problem 23STP
The correct answer is Option (A)
Explanation of Solution
Given: A spinner is attached to a circular board which has 8 equal sectors marked 1 to 8. The spinner has equal chances of landing on any one of the 8 sectors.
Concepts Used: Consider an event that has m possible outcomes. If the same event is carried out n number of times then the total number of possible outcomes will be
The probability of any event is the ratio of the number of favorable outcomes to the total number of possible outcomes.
Calculation: If the spinner is spun once it can land on any one of the 8 sectors so total number of possible outcomes is 8. Hence, if the spinner is spun twice total number of possible outcomes will be equal to
Let E be the event that the spinner first lands on 2 and then on 5 after it’s spun twice.
Since there is only one possibility, i.e.- the event will occur if and only if the spinner lands first on 2 after the first spin and then on 5 after the second spin, thus total number of favorable outcomes = 1
Therefore the required probability is-
Thus, the correct answer is Option (A)
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