i believe the answer is D because spinner 1’s probability is 1/2 and spinner 2’s is 1/3
The probability that the first spinner will land on an odd number and the second spinner will land on a vowel is [tex]\bold{\dfrac{1}{6}}[/tex].
Probability shows us the chances of an event occurring.
[tex]\bold{Probability =\dfrac{Desired\ Outcome}{Total\ number\ of\ outcomes\ possible}}[/tex]
For the first spinner, we want the outcome to be an odd number.
The odd numbers on the spinner are 7 and 9, therefore the number of desired outcomes is 2.
the total number of outcomes possible on the first spinner is 4.
[tex]\bold{Probability(Odd\ Number) =\dfrac{Desired\ Outcome(2)}{Total\ number\ of\ outcomes\ possible(4)}}[/tex]
[tex]\bold{Probability(Odd\ Number)=\dfrac{1}{2} }}[/tex]
For the Second spinner, we want the outcome to be a vowel.
The number of vowels on the second spinner is 1 that is A.
the total number of outcomes possible on the second spinner is 3.
[tex]\bold{Probability(Vowel) =\dfrac{Desired\ Outcome(1)}{Total\ number\ of\ outcomes\ possible(3)}}[/tex]
[tex]\bold{Probability(Vowel) = \dfrac{1}{3}}}[/tex]
The probability that the first spinner will land on an odd number and the second spinner will land on a vowel.
For two events to occur together we need to multiply the probability of those events occurring individually.
[tex]\rm{Probability(Vowel\ And\ Odd\ Number) = Probability(Vowel)\times Probability(Odd\ Number)[/tex][tex]\rm{Probability(Vowel\ And\ Odd\ Number) =\dfrac{1}{2}\times \dfrac{1}{3}\\[/tex]
[tex]\rm{Probability(Vowel\ And\ Odd\ Number) =\dfrac{1}{6}[/tex]
Hence, the probability that the first spinner will land on an odd number and the second spinner will land on a vowel is [tex]\bold{\dfrac{1}{6}}[/tex].
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