Harriet spins this spinner, that has 6
different colours, and flips a coin.

What is the probability of getting grey and tails?

To find the probability of getting both grey on the spinner and tails on the coin, we can use the rule for the probability of independent events. The probability of both events occurring is the product of their individual probabilities.

### Step 1: Calculate the probability of landing on grey
Since the spinner has 6 different colors, and assuming each color is equally likely, the probability of landing on grey is:

\[
P(\text{Grey}) = \frac{1}{6}
\]

### Step 2: Calculate the probability of flipping tails
A coin has two sides: heads and tails. The probability of flipping tails is:

\[
P(\text{Tails}) = \frac{1}{2}
\]

### Step 3: Calculate the combined probability
The probability of getting both grey and tails is:

\[
P(\text{Grey and Tails}) = P(\text{Grey}) \times P(\text{Tails}) = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}
\]

So, the probability of getting grey on the spinner and tails on the coin is \(\frac{1}{12}\).

Would you like further details or have any questions? Here are some related questions you might find interesting:

1. What is the probability of getting any specific color and heads?
2. How would the probability change if the spinner had 8 colors instead of 6?
3. What is the probability of not getting grey and tails?
4. How do you calculate the probability of getting heads and any color except grey?
5. What is the probability of getting grey and heads on two consecutive spins and flips?
6. How does changing the number of coin flips affect the probability?
7. What is the probability of getting grey on the spinner and either heads or tails?
8. How would you calculate the probability of getting grey and heads twice in a row?

**Tip:** When dealing with independent events, remember that their combined probability is the product of their individual probabilities.

Explore the probability of getting grey on a spinner with 6 colors and flipping tails on a coin. Understand how to calculate probabilities of independent events using step-by-step explanations. Suitable for Grades 6-8.

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