Probability

NZ Level 6 (NZC) Level 1 (NCEA)

Complementary Events

Are the following events complementary?

a

Event A: Selecting a positive number.

Event B: Selecting a negative number.

Complementary

A

Not complementary

B

Complementary

A

Not complementary

B

b

Event A: Drawing a red card from a standard deck of cards (no jokers).

Event B: Drawing a black card from a standard deck of cards (no jokers).

Complementary

A

Not complementary

B

Complementary

A

Not complementary

B

c

Event A: Drawing a club from a standard deck of cards (no jokers).

Event B: Drawing a spade from a standard deck of cards (no jokers).

Complementary

A

Not complementary

B

Complementary

A

Not complementary

B

d

Event A: Rolling a number greater than 3 on a die.

Event B: Rolling a number less than 3 on a die.

Complementary

A

Not complementary

B

Complementary

A

Not complementary

B

Easy

Approx a minute

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Investigate situations that involve elements of chance: A comparing discrete theoretical distributions and experimental distributions, appreciating the role of sample size B calculating probabilities in discrete situations.

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