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A trick coin is made such that when it is tossed there is a 20% chance of heads landing face up and an 80% chance of tails landing face up. If the coin is tossed twice, what is the probability that the coin will land with heads facing up both times?

Respuesta :

P( heads on one toss) = 0.20

P  ( 2 heads)  = 0.20 * 0.20  = 0.04   or 4%

Answer:  4 %

Step-by-step explanation:

According to the question,

20% chance of heads landing face up

Therefore, probability of getting a head, [tex]P(H) = \frac{20}{100} = \frac{1}{5}[/tex]

The probability of getting tail, [tex]P(T) = \frac{80}{100} = \frac{4}{5}[/tex]

Thus, the  probability that the coin will land with heads facing up both times

= [tex]\frac{1}{5}\times \frac{1}{5}[/tex]

=   [tex]\frac{1}{25}[/tex]

=   0.04 or 4 %

Thus the required probability is 4 %.