Question

A coin is biased so that is has a 60% chance of landing on heads. Create a tree diagram to calculate the probabilities. If the coin is thrown three times, find the probability of getting
three tails:

2 tails and a head:

Answer 1

Step-by-step explanation:

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Answer 2

a) 6/5 - Probability of getting three TAILS

b) 7/5 -Probability of getting two TAILS and one HEAD

◆Probability of getting a HEAD = 60/100 On simplifying, = 3/5

◆Probability of getting a TAIL = 1 -(3/5)

= 2/5

◆If event is done one after the other, probabilities get ADDED

◆Probability of getting three TAILS= 2/5 + 2/5 + 2/5=6/5.

◆Thus,

Probability of getting two TAILS and one HEAD= 2/5 + 2/5 + 3/5 =7/5.