Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If you flip three fair coins, what is the probability that the first two flips will both be heads, and the third flip will be either heads or tails?

If you flip three fair coins, what is the probability that the first two flips will both be heads, and the third flip will be either heads or tails?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Outcomes of compound eventsright chevron icon

Full solution

Q. If you flip three fair coins, what is the probability that the first two flips will both be heads, and the third flip will be either heads or tails?
  1. Calculate probability of first flip: Calculate the probability of getting heads on the first flip.\newlineProbability of heads on one flip = 12\frac{1}{2}.
  2. Calculate probability of second flip: Calculate the probability of getting heads on the second flip.\newlineProbability of heads on one flip = 12\frac{1}{2}.
  3. Calculate probability of third flip: Since the third flip can be either heads or tails, the probability is 11 (it will definitely be one of those).\newlineProbability of heads or tails on one flip = 11.
  4. Multiply probabilities for total: Multiply the probabilities of each event to get the total probability.\newlineTotal probability = (12)×(12)×(1)(\frac{1}{2}) \times (\frac{1}{2}) \times (1).
  5. Perform multiplication for total: Perform the multiplication to find the total probability.\newlineTotal probability = 14\frac{1}{4}.

More problems from Outcomes of compound events

Question
What is the least common multiple of 1212 and 99 ?\newlinelcm⁡(12,9)= \operatorname{lcm}(12,9)=
Get tutor helpright-arrow

Posted 4 months ago

Question
What is the least common multiple of 1212 and 1616 ?\newlinelcm⁡(12,16)= \operatorname{lcm}(12,16)=
Get tutor helpright-arrow

Posted 4 months ago

Question
What is the least common multiple of 88 and 1010 ?\newlinelcm⁡(8,10)= \operatorname{lcm}(8,10)=
Get tutor helpright-arrow

Posted 4 months ago

Question
What is the least common multiple of 44 and 1010 ?\newlinelcm⁡(4,10)= \operatorname{lcm}(4,10)=
Get tutor helpright-arrow

Posted 4 months ago

Question
What is the least common multiple of 44 and 88 ?\newlinelcm⁡(4,8)= \operatorname{lcm}(4,8)=
Get tutor helpright-arrow

Posted 4 months ago

Question
What happens to the value of the expression w−w w-w as w w increases?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 4 months ago

Question
What happens to the value of the expression 150−j 150-j as j j decreases?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 4 months ago

Question
What happens to the value of the expression 100−x 100-x as x x increases?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 4 months ago

Question
What happens to the value of the expression n+15 n+15 as n n decreases?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 4 months ago

Question
What happens to the value of the expression 3e 3 e as e e increases?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 4 months ago

View all (16)