The organized list below shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).
HHHH HHHT HTHH HHTT HHTH HTHT HTTH HTTT
TTTT TTTH THTT TTHH TTHT THTH THHT THHH
What is the probability that at least three coins land facing tails up? Give the probability as a percent.
Enter your answer in the box.
P(at least three tails) =
Answers
Given : all possible outcomes when four fair coins are flipped.
To find : probability that at least three coins land facing tails up
Solution:
Sample Space
= { HHHH , HHHT, HTHH , HHTT , HHTH , HTHT , HTTH , HTTT , TTTT , TTTH ,THTT, TTHH ,TTHT ,THTH, THHT ,THHH}
n(S) = 16
at least three coins land facing tails up = 3 Tails up + 4 Tailsup
E = { HTTT , TTTT , TTTH ,THTT, TTHT }
n(E) = 5
Probability (at least three tails) = n(E)/n(S) = 5/16
probability = 3 Tail + 4 Tails
= ⁴C₃(1/2)(1/2)³ + ⁴C₄(1/2)⁰(1/2)⁴
= 4 (1/16) + 1/16
= 5/16
probability that at least three coins land facing tails up = 5/16
P(at least three tails) = 5/16
Learn More:
If you flip three fair coins, what is the probability that you'll get all ...
https://brainly.in/question/7633345
3. Mia spins a coin until she gets a head. The probability she needs ...
https://brainly.in/question/13673768
If a coin is tossed one time then the probability of a head is 1/2. If we ...
https://brainly.in/question/13321902
Answer:
5\12
Step-by-step explanation:
my teacher did it for me