Answer: [tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
From the given spinner, the probability of spinning not red ( i.e spinning blue, yellow)is given by :-
[tex]\text{P(not red)}=\dfrac{2}{3}[/tex]
The probability of not spinning an even number ( i.e spinning 1, 3) is given by :-
[tex]\text{P(not even)}=\dfrac{2}{3}[/tex]
Also, the probability of getting a tail when flipping a unbiased coin =[tex]P(T)=\dfrac{1}{2}[/tex]
Since all the events are independent , thus the probability of not spinning a red, flipping tails, then not spinning an even number will be:-
[tex]\text{P(not red)}\times\text{P(not even)}\times P(T)\\\\=\dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{1}{2}\\\\=\dfrac{2}{9}[/tex]
