M.6

Independent & Dependent Events

Tell independent from dependent events, then find the probability of two picks with and without putting the first back.

Level

Medium

Level

Problems

Show exampleInclude answer key

@page { size: letter; margin: 0; } @media print { .ws-page + .ws-page { break-before: page; } } Daniel Math Academy \cdot Grade 7 Math Independent & Dependent Events Skill M.6 \cdot Probability \cdot ★★☆ Medium Name Date Score / 4 Scan for answers Marbles are picked without looking. Write probabilities in simplest form. Example R R R B B B B B P (red) = \frac{3}{8} P (red, then blue) = \frac{3}{8} \times \frac{5}{8} = \frac{15}{64} Think: The marble goes back, so the bag is the same for the second pick: multiply the two probabilities. 1 Y Y Y Y Y B B B B B G Put the first marble back. P(green, then green) = 2 B B B B B Y Y Put the first marble back. P(yellow, then blue) = 3 Y Y R R Put the first marble back. P(yellow, then red) = 4 B B B B R G G G G Put the first marble back. P(blue, then green) = Daniel Math Academy \cdot danielmath.com Worksheet # yd3c2bx \cdot Page 1 / 2 Daniel Math Academy \cdot Grade 7 Math Answer Key M.6 Independent & Dependent Events \cdot ★★☆ Medium 1 \frac{1}{121} 2 \frac{10}{49} 3 \frac{1}{4} 4 \frac{16}{81} Daniel Math Academy \cdot danielmath.com Worksheet # yd3c2bx \cdot Answer Key \cdot Page 2 / 2

M. Probability7 skills