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:

You flip a coin twice.\newlineWhat is the probability of getting tails and then getting heads?\newlineWrite your answer as a percentage.\newline____%\_\_\_\_\%

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Probability of independent and dependent eventsright chevron icon

Full solution

Q. You flip a coin twice.\newlineWhat is the probability of getting tails and then getting heads?\newlineWrite your answer as a percentage.\newline____%\_\_\_\_\%
  1. Coin Flip Probability: The possible outcomes when flipping a coin are {Heads,Tails}\{\text{Heads}, \text{Tails}\}. The probability of getting tails on the first flip is P(Tails on first flip)=Favorable outcomesTotal outcomes=12P(\text{Tails on first flip}) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{1}{2}
  2. First Flip: Tails: Similarly, the probability of getting heads on the second flip is also P(Heads on second flip)=Favorable outcomesTotal outcomes=12P(\text{Heads on second flip}) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{1}{2}
  3. Second Flip: Heads: The probability of two independent events both occurring is the product of their individual probabilities. Therefore, the probability of getting tails on the first flip and heads on the second flip is P(Tails then Heads)=P(Tails on first flip)×P(Heads on second flip)=12×12=14P(\text{Tails then Heads}) = P(\text{Tails on first flip}) \times P(\text{Heads on second flip}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}
  4. Combined Probability: To express the probability as a percentage, we multiply the probability by 100100. So, P(Tails then Heads)P(\text{Tails then Heads}) as a percentage is (14×100)%=25%(\frac{1}{4} \times 100)\% = 25\%

More problems from Probability of independent and dependent events

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

Posted 10 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 10 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 10 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 10 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 10 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 10 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 10 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 10 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 10 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 10 months ago

View all (2)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant