SOLUTION: You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card less

Algebra ->  Probability-and-statistics -> SOLUTION: You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card less      Log On


   



Question 1075964: You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card less than 10 (assume the ace is equal to 1) from the deck?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Flipping the coin:
P( H ) = 1/2
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Rolling the die:
There are 6 numbers
1,2,3,4,5,6
3 of them are odd, so
P( odd ) = 3/6
P( odd ) = 1/2
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There are 52 cards in a deck
There are +9%2A4+=+36+
cards less than +10+
P( <10 ) = 36/52
P( <10 ) = 9/13
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Since you want ALL the above,
multiply probabilities
+%281%2F2%29%2A%281%2F2%29%2A%289%2F13%29+=+9%2F52+