Compound Events and Sample Space — Quiz

Question 10 • Grade 7 Mathematics

Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes?

Answer

Table with 5 columns and 3 rows.Row 1: Column 1, empty; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'T'; Column 2, 'T1'; Column 3, 'T2'; Column 4, 'T3'; Column 5, 'T4' Row 3: Column 1, 'T'; Column 2, 'T1'; Column 3, 'T2'; Column 4, 'T3'; Column 5, 'T4'

Table with 5 columns and 3 rows.Row 1: Column 1, empty; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'H'; Column 2, 'H1'; Column 3, 'T2'; Column 4, 'H3'; Column 5, 'T4' Row 3: Column 1, 'T'; Column 2, 'H1'; Column 3, 'T2'; Column 4, 'H3'; Column 5, 'T4'

Table with 5 columns and 3 rows.Row 1: Column 1, empty; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'T'; Column 2, 'T1'; Column 3, 'T2'; Column 4, 'T3'; Column 5, 'T4' Row 3: Column 1, 'H'; Column 2, 'H1'; Column 3, 'H2'; Column 4, 'H3'; Column 5, 'H4'

Table with 5 columns and 3 rows.Row 1: Column 1, empty; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'H'; Column 2, 'H1'; Column 3, 'H2'; Column 4, 'H3'; Column 5, 'H4' Row 3: Column 1, 'H'; Column 2, 'H1'; Column 3, 'H2'; Column 4, 'H3'; Column 5, 'H4'

Explanation

The spinner can land on 1, 2, 3, or 4, and the coin can show heads (H) or tails (T). Combining each coin result with every spinner number gives eight outcomes: H1, H2, H3, H4, T1, T2, T3, and T4. Choice C shows all eight combinations.

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