SOLUTION: two biased coins with probability of head is 0.3 on coin one and probability of head is 0.4 on coin two are tossed simultaneously. find probability of
A.two heads
B.coin one sho
Algebra.Com
Question 998790: two biased coins with probability of head is 0.3 on coin one and probability of head is 0.4 on coin two are tossed simultaneously. find probability of
A.two heads
B.coin one shows head
C.one head
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!
Problem:
Two biased coins are tossed simultaneously.
Coin A has probability of 0.3 for heads, and
coin B has probability of 0.4 for heads.
Find
(a) two heads
(b) coin A shows head
(c) one head
Solution:
Define event Ha=coin A shows heads, Hb=coin B shows heads.
(a) Two heads
The two coins are independent of each other, so probability of both events (heads) happening is the product of the individual probabilities.
Probability of two heads
= P(Ha and Hb)
= P(Ha)*P(Hb)
= 0.3*0.4
= 0.12
(b) Coin A shows head
This means that the outcome of coin B is immaterial, so
P(Ha)=0.3
(c) one head
This means exactly one head, which is either
event Ha and ~Hb
or
event ~Ha and Hb.
The two events are independent and mutually exclusive, so we can add the two probabilities.
P(Ha and ~Hb)=0.3*(1-0.4)=0.18
P(~Ha and Hb)=(1-0.3)*0.4=0.28
Probability of showing exactly one head
= 0.18+0.28
= 0.46
RELATED QUESTIONS
A box contains 3 coins: one coin with two sides-head & tail, one coin two headed and one... (answered by ewatrrr)
if two coins are tossed simultaneously, find the probability of showing either head or... (answered by Boreal)
if two coins are tossed simultaneously, find the probability of showing either head on... (answered by jim_thompson5910)
Three coins are tossed. What is the probability of two tails and one... (answered by longjonsilver)
A bag contains three coins, one of which has a head on both sides while the other two... (answered by Edwin McCravy)
A biased coin is tossed twice. This coin has a 90% chance of landing heads up. What is... (answered by stanbon)
If a dice is rolled and a coin is tossed, answer the following questions:
a. Provide the (answered by stanbon)
a coin is biased so that a head is twice as likely to occur as a tail.If the coin is... (answered by edjones)
I need help. Thank you.
A biased coin has a 70 % chance of landing on heads. The coin... (answered by greenestamps)