PROBABILITY

1.
A die is rolled, what is the probability that an even number will be obtained?

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• The amount of sample space can be labeled S.
• S={1,2,3,4,5,6}
• These are all the numbers on a dice.

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• The event of an even number being obtained can be labeled E.
• E={2,4,6}

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• Now use the formula of P(E)=n(E)/n(S)
• N stands for number
• P(E)=3/6=1/2

The probability is that you have a 1/2 chance of rolling an even number on die.

2.
Two coins are tossed, what is the probability that two heads will be obtained?

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• The amount of sample space can be labeled S.
• S={(H,T)(H,H)(T,H)(T,T)}

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• The event of two heads being obtained can be labeled H.
• H={(H,H)}

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• Now use the formula of P(H)=n(H)/n(S)
• P(H)=1/4

The probability is that you have a 1/4 chance of obtaining two heads with two coins.

You have a full deck of cards, what is the probability that you will obtain an odd heart?

This the the amount of sample space above, it can be labeled S.

• The amount of sample space can be labeled S.

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• The event of an odd heart being obtained can be labeled O.
• O={1,3,5,7,9}

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• Now use the formula of P(O)=n(O)/n(S)
• P(O)=5/52

The probability is that you have a 5/52 chance of obtaining an odd heart from a deck of cards.