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Dennis_Churaev [7]
2 years ago
5

The probability of getting a head when a biased coin is tossed is . The coin is tossed three times. Find the following probabili

ties and select the correct solution. P(three tails) = . P(two tails followed by one head) = .
Mathematics
1 answer:
S_A_V [24]2 years ago
6 0

Answer:

a) P(three tails) = \frac{1}{8}

b) P(two tails followed by one head) = \frac{1}{8}

Step-by-step explanation:

coin is tossed three times so, outcome is

HHH, TTT, HTH, THH, HHT, THT, TTH, HTT.

Hence sample space will be

S = {HHH, TTT, HTH, THH, HHT, THT, TTH, HTT}

chance of getting three tails is '1' i.e. TTT

hence,

P(three tails) = \frac{1}{8}

two tails followed by one head is TTH

so, chance of getting that outcome is also '1'

hence,

P(two tails followed by one head) = \frac{1}{8}

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