Suppose you have a coin which is rigged so that the probability of tossing a head is 1/4. You toss the coin 9 times. Consider each of the following events. E₁ E2 E3 E4 E5 T on first flip H on first flip T on second flip Exactly two H Not all flips identical

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Note: for best results, enter exact values or decimal approximations accurate to at least 5 decimal places.
Suppose you have a coin which is rigged so that the probability of tossing a head is 1/4. You toss the coin 9 times.
Consider each of the following events.
E₁
E2
E3
EA
E5
T on first flip
H on first flip
T on second flip
Exactly two H
Not all flips identical
Transcribed Image Text:Note: for best results, enter exact values or decimal approximations accurate to at least 5 decimal places. Suppose you have a coin which is rigged so that the probability of tossing a head is 1/4. You toss the coin 9 times. Consider each of the following events. E₁ E2 E3 EA E5 T on first flip H on first flip T on second flip Exactly two H Not all flips identical
P(E₁|E₁) = 1/65536
P(E5|E₁)
= (3/4)^9
Transcribed Image Text:P(E₁|E₁) = 1/65536 P(E5|E₁) = (3/4)^9
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