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timofeeve [1]
2 years ago
10

Create a probability model for the outcome of performing 2 spins. What is the probability of NOT landing on yellow or red at all

?
Mathematics
1 answer:
Mamont248 [21]2 years ago
5 0

Using the concept of probability, the probability of not landing on <em>yellow or red at all</em> is 1/4.

<u>Creating</u><u> </u><u>a</u><u> </u><u>square</u><u> </u><u>model</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>two</u><u> </u><u>spins</u><u> </u><u>:</u>

  • Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)

___ R ___ B ___ G ___ Y

R_ RR __ RB __ RG __ RY

B_ BR __ BB __ BG __ BY

G_ GR __GB __ GG __GY

Y_ YR __ YB __ YG __ YY

  • <em>Sample</em><em> </em><em>space</em><em> </em><em>=</em><em> </em><em>4²</em><em> </em><em>=</em><em> </em><em>16</em>

<u>Combinations</u><u> </u><u>without</u><u> </u><u>red</u><u> </u><u>and</u><u> </u><u>yellow</u><u> </u><u>:</u>

  • {BB, BG, GB, GG}
  • <em>Number</em><em> </em><em>of</em><em> </em><em>selections</em><em> </em><em>without</em><em> </em><em>red</em><em> </em><em>or</em><em> </em><em>yellow</em><em> </em><em>=</em><em> </em><em>4</em><em> </em>

<u>Recall</u> :

  • <em>Probability</em><em> </em><em>=</em><em> </em><em>required</em><em> </em><em>outcome</em><em> </em><em>/</em><em> </em><em>Total possible</em><em> </em><em>outcomes</em><em> </em>

P(without Red or Yellow) = 4/16 = 1/4

Hence, the probability of not landing on <em>yellow</em><em> </em><em>or</em><em> </em><em>red</em><em> </em><em>at</em><em> </em><em>all</em><em> </em>is 1/4.

Learn more : brainly.com/question/14605518

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