Q: determine the number of possible outcomes when a coin is tossed:

Question

1.determine the number of possible outcomes

when a coin is tossed:

d) n times

explain

Answer 1

2ⁿ

There are 2 outcomes per toss (head or tail) and the outcomes on successive tosses are independent.

So if you have 2 tosses you can get

HH HT TH TT so 4 = 2²

3 tosses

HHH HHT HTH HTT THH THT TTH TTT so 8 = 2³ etc

Answer 2

1 toss: 2 outcomes

2 toss: 2² outcomes

3 toss: 2³ outcomes

,,,

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n toss: ?