Gr 12 Data

Sarah tosses 5 coins, one after the other.
a) How many different outcomes are possible?
b) Draw a tree diagram to illustrate the different possibilities.
c) In how many ways will the first coin turn up heads and the last coin turn up tails?
d) In how many ways will the second, third, and fourth coins all turn up tails?
e) Would the same possibilities arise in parts a), b), c), and d) if one coin was tossed 5 times in
succession?

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  1. a) 2^5

    c) 2^3 ... arrangements of 3 middle coins

    d) 2^2 ... arrangements of 2 end coins

    e) yes , a coin toss is a coin toss

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