what is the probability of picking a purple marble and flipping heads?\nwrite your answer as a fraction or a…

what is the probability of picking a purple marble and flipping heads?\nwrite your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

what is the probability of picking a purple marble and flipping heads?\nwrite your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Explanation:

Step1: Count total & purple marbles

Total marbles: $6+4+1=11$, purple marbles: $4$ Probability of purple marble: $\frac{4}{11}$

Step2: Probability of flipping heads

A fair coin has 2 outcomes, so $P(\text{heads})=\frac{1}{2}$

Step3: Multiply the two probabilities

For independent events, multiply their probabilities: $\frac{4}{11} \times \frac{1}{2}$

Step4: Simplify the product

$\frac{4 \times 1}{11 \times 2} = \frac{4}{22} = \frac{2}{11}$

Answer:

2/11