Three coins are tossed simultaneously 1000 times with the following frequencies a differunt outcomes.
outcome
2 heads
frequency
190
1 head
560 no head 250
(step by step solution)
Answers
Answer:
2 heads frequency 190 head
Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes- no head−14 one head−38 two heads−36 three heads−12 if the three coins are simultaneously tossed again,compute the probability of: (1). 2 heads coming up. (2). 3 heads coming up. (3). at least one head coming up. (4).getting more heads than tails. (5). getting more tails than heads.
ANSWER
Total number of outcomes = 100
Answer 1) : 2 heads coming up
Probability = 36/100
= 9/25
Answer 2) : 3 heads coming up
Probability = 12/100
= 3/25
Answer 3) : At least 1 head coming up
Probability = (36/100 + 38/100 + 12/100)
= 86/100
= 43/50
Answer 4) : Getting more heads than tails
Number of times 2 heads (2 heads and 1 tail) appears = 36
Number of times 3 heads (3 heads and 0 tail) appears = 12
Number of favorable outcomes = 36 + 12 = 48
Probability (Getting more heads than tails)
= Number of favorable outcomes/Total number of possible outcomes
= 48/100
= 12/25
Answer 5) : Getting more tails than heads
Number of times 2 tails (2 tails and 1 head) appears = 38
Number of times 3 tails (3 tails and 0 head) appears = 14
Number of favorable outcomes = 38 + 14 =52
Probability (Getting more tails than heads) = 52/100
= 13/25