Help w/ Another Tree Diagram Question?

Dear All,

Could you please answer Question No. 6 please show your work and make an actual tree diagram
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1 Answer
Steve M
May 15, 2017

# P("first prize") = 0.04 #
# P("not first prize") = 0.96#
# P ("second prize" | "not first prize") = 8/199 #

Explanation:

Adam has 8 chances that one of his tickets will match the first prize drawn out of 200;

# P("first prize") = 8/200 #
# " " = 0.04 #

The event that a first prize is drawn is a certainty, and

# P("not first prize") + P("first prize") = 1 #
# :. P("not first prize") = 1 - P("first prize") #
# " " = 1-0.4 = 0.96#

If the first prize has been dawn there are 199 tickets remaining, so Adam now has 8 chances that one of his tickets will match the second prize drawn out of 199

# P ("second prize" | "not first prize") = 8/199 #

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