You spin a spinner that has 8 equal-sized sections numbered 1 to 8. Find the theoretical probability of landing on the given section(s) of the spinner.

Immadvapsupvkd

Immadvapsupvkd

Answered question

2023-03-09

You spin a spinner that has 8 equal-sized sections numbered 1 to 8. Find the theoretical probability of landing on the given section(s) of the spinner. (i) section 1 (ii) odd-numbered section (iii) a section whose number is a power of 2. [4 MARKS]

Answer & Explanation

Carlee Floyd

Carlee Floyd

Beginner2023-03-10Added 6 answers

Part(i): 1 Mark
Part(ii) and part(iii): 1.5 Marks each
Because the sections are all the same size, each one is equally likely.
The probability of falling on each section is, therefore, 1 8 .
(i) Thus, probability of falling on section 1 is 1 8 .
(ii) There are four odd numbered sections. Hence, probability is P(odd numbered section) = 4 8 = 1 2
(iii) There are 3 numbers here which are powers of two, namely 2, 4 and 8. Thus, the required probability =P(section whose number is a power of 2) = 3 8

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