s244710
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Anyone please help will mark BRAINIEST! Please show all work
A coin is tossed 3 times and a sequence of heads and tails is recorded.
a) Determine the number of points in the sample space
b) Construct a tree diagram and list the sample space
Find the probability that:
c) No heads are tossed
d) Exactly one head is tossed
e) Three heads are tossed

Sagot :

ttroupe49

Solution:

Total number of trials = 250.

Number of times three heads appeared = 70.

Number of times two heads appeared = 55.

Number of times one head appeared = 75.

Number of times no head appeared = 50.

In a random toss of 3 coins, let E1, E2, E3 and E4 be the events of getting three heads, two heads, one head and 0 head respectively. Then,

(i) getting three heads

P(getting three heads) = P(E1)

     Number of times three heads appeared

=                   Total number of trials        

= 70/250

= 0.28

(ii) getting two heads

P(getting two heads) = P(E2)

     Number of times two heads appeared

=                 Total number of trials        

= 55/250

= 0.22

(iii) getting one head

P(getting one head) = P(E3)

     Number of times one head appeared

=                 Total number of trials        

= 75/250

= 0.30

(iv) getting no head

P(getting no head) = P(E4)

     Number of times on head appeared

=                 Total number of trials      

= 50/250

= 0.20

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.