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Simple probability question. (1 Viewer)

The Matrix

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Two identical biased coins are each more likely to land showing heads than
showing tails.
The two coins are tossed together, and the outcome is recorded. After a large
number of trials it is observed that the probability that the two coins land
showing a head and a tail is 0.48 .
What is the probability that both coins land showing heads?
So I made heads = p and tails = 1-p then 2p(1-p)=0.48 but I get two solutions to this quadratic, 0.4 and 0.6 so which one should I use to calculate the probability of them being heads, which is P^2?
:(
 

The Matrix

Member
Joined
Jul 7, 2012
Messages
174
Gender
Male
HSC
2012
Two identical biased coins are each more likely to land showing heads than
showing tails
.
The two coins are tossed together, and the outcome is recorded. After a large
number of trials it is observed that the probability that the two coins land
showing a head and a tail is 0.48 .
What is the probability that both coins land showing heads?
So I made heads = p and tails = 1-p then 2p(1-p)=0.48 but I get two solutions to this quadratic, 0.4 and 0.6 so which one should I use to calculate the probability of them being heads, which is P^2?
:(
Never mind, I think I get it, it says "more likely to land showing heads than showing tails" so I guess we use 0.6?
 

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