Problem 5: Please show work and final answer! Probability help needed This probl
ID: 3323417 • Letter: P
Question
Problem 5:
Please show work and final answer! Probability help needed
This problem consists of 5 different probability questions You toss a coin 4 times. How many possible results does the sample space contain? You spin a roulette wheel (with 38 slots) twice. How many possible results does the sample space contain? You roll two dice. What is the chance that both will show five? You roll two dice. What is the chance that the total will be either 9 or 2? You toss a coin 4 times. Given that the first toss is tails, what is the chance that you get exactly 2 tails out of the 4 tosses?Explanation / Answer
1 ans)
Each coin flip has 2 possible outcomes either head or tail,
when the flipping of 4 coins has 2x2x2x2 = 16 possible outcomes
, where H indicates a head
, and T a tail:
HHHH THHH
HHHT THHT
HHTH THTH
HHTT THTT
HTHH TTHH
HTHT TTHT
HTTH TTTH
HTTT TTTT
total 16
b) when you spin roultte twice
the sample space is (38^2)
c) you roll a dice twice
then sample space = 36
chanc of both will show five is only once (5,5)
so probbaility = 1/36
d) you roll a dice twice
then sample space = 36
total is 9 = (3,6)(6,3)(4,5)(5,4)
total is 2 = (1,1)
so probability is =( 4+1 ) /36 = 5/36
e) four times tossed means sample space is = 16
THHH THHT THTH THTT TTHH TTHT TTTH TTTT
probbaility = 8/16= 1/2