in 100 set of 10 tosses of a coin ,the no. of cases you expect 7 head and 3 tail is
Answers
Answer:
Step-by-step explanation:
Based on the description, I understand that you toss a coin ten times to see if you get 77 heads and 33 tails. Repeat this experiment 9999 more times.
The probability of getting 77 heads and 33 tails is (12)10×(107)(12)10×(107) if you flip a coin 1010 times. Your expected number after 100
100 sets is just the previous number times 100
100.
12 Cases expected 7 head and 3 tail in 10 tosses of coin in 100 sets.
Given:
100 set of 10 tosses of a coin
To Find:
The no. of cases expected 7 head and 3 tail
Solution:
Probability of head p = 1/2
probability of not head ( tail) q = 1/2
n = 10
P(x) = ⁿCₓpˣqⁿ⁻ˣ
head = 7 , x = 7
P(7) = ¹⁰C₇(1/2)⁷q¹⁰⁻⁷
= 120 /1024
Expected in 100 Cases = 100 x 120/1024 ≈ 11.72 ≈ 12
Hence, 12 Cases expected with 7 head and 3 tail in 10 tosses of coin in 100 sets.