Harriet spins this 6 colour spinner and flips a coin.
What is the probability of getting grey and tails?
In probabilities; when two or more conditions must be met, the "and" operator is used. The probability of grey and tails is 1/12
From the attached spinner, we have:
[tex]Grey = 1[/tex]
[tex]n =6[/tex] --- partitions
So, the probability of landing on grey is:
[tex]P(Grey) = \frac{Grey}{n}[/tex]
This gives:
[tex]P(Grey) = \frac{1}{6}[/tex]
In a coin, we have:
[tex]Tail = 1[/tex]
[tex]n =2[/tex] --- faces
So, the probability of tail is:
[tex]P(Tail) = \frac{Tail}{n}[/tex]
[tex]P(Tail) = \frac{1}{2}[/tex]
The probability of grey and tail is:
[tex]Pr = P(Grey) \times P(Tail)[/tex]
[tex]Pr = \frac{1}{6} \times \frac{1}{2}[/tex]
[tex]Pr = \frac{1}{12}[/tex]
Hence, the probability of getting grey and tail is 1/12
Read more on probability at:
https://brainly.com/question/13957582