puzzle #3\nfind the probability\n1 that your spin will land on a space with polka dots.\n2 that your spin…

puzzle #3\nfind the probability\n1 that your spin will land on a space with polka dots.\n2 that your spin will land on a space with stripes.\n3 that your spin will land on a space that is even and striped.\n4 that your spin will land on a space that is even or striped.\nanswer choices\na: $\frac{3}{8}$ b: $\frac{3}{4}$ c: $\frac{1}{4}$\nd: 1 e: $\frac{3}{16}$ f: $\frac{1}{2}$\ng: $\frac{7}{8}$ h: $\frac{5}{8}$ i: 0\ntype the 4 - letter code into the answer box. all caps, no spaces.

puzzle #3\nfind the probability\n1 that your spin will land on a space with polka dots.\n2 that your spin will land on a space with stripes.\n3 that your spin will land on a space that is even and striped.\n4 that your spin will land on a space that is even or striped.\nanswer choices\na: $\frac{3}{8}$ b: $\frac{3}{4}$ c: $\frac{1}{4}$\nd: 1 e: $\frac{3}{16}$ f: $\frac{1}{2}$\ng: $\frac{7}{8}$ h: $\frac{5}{8}$ i: 0\ntype the 4 - letter code into the answer box. all caps, no spaces.

Answer

Answer:

  1. A. $\frac{3}{8}$
  2. B. $\frac{3}{4}$
  3. E. $\frac{3}{16}$
  4. G. $\frac{7}{8}$

Explanation:

Step1: Count total sections

There are 8 sections on the spinner.

Step2: Probability of polka - dots

There are 3 sections with polka - dots. Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{8}$.

Step3: Probability of stripes

There are 6 sections with stripes. So $P = \frac{6}{8}=\frac{3}{4}$.

Step4: Even and striped

Even numbers are 0, 2, 4, 6. Striped and even are 2, 4, 6. There are 3 such sections. Probability $P=\frac{3}{16}$ (since total is 8 and we are looking for a more specific case).

Step5: Even or striped

Even numbers: 0, 2, 4, 6; Striped numbers: 1, 2, 3, 4, 6, 7. Total unique sections that are even or striped are 7. Probability $P=\frac{7}{8}$.