Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the probability of flipping heads and rolling a one?\newline\newlineWrite your answer as a fractions" target="_blank" class="backlink">fraction or a whole number. With fractions, use a slash (/ / ) to separate the numerator and denominator.\newline__\_\_

Full solution

Q. What is the probability of flipping heads and rolling a one?\newline\newlineWrite your answer as a fraction or a whole number. With fractions, use a slash (/ / ) to separate the numerator and denominator.\newline__\_\_
  1. Understand the problem: Step 11: Understand the problem.\newlineWe need to find the probability of flipping a coin and getting heads, and then rolling a die and getting a 11.
  2. Calculate flipping heads: Step 22: Calculate the probability of flipping heads.\newlineThe probability of flipping heads on a fair coin is 12\frac{1}{2}.
  3. Calculate rolling one: Step 33: Calculate the probability of rolling a one.\newlineThe probability of rolling a one on a fair six-sided die is 16\frac{1}{6}.
  4. Find combined probability: Step 44: Find the combined probability.\newlineSince the events are independent, multiply the probabilities: (12)×(16)=112(\frac{1}{2}) \times (\frac{1}{6}) = \frac{1}{12}.

More problems from Probability of compound events