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3. Consider the following:
a. A game was advertised as having a probability of 0.4 of winning. You know that the game involved five cards with a different digit on each card. Describe a possible game involving the
cards that would have a probability of 0.4 of winning.
b. A second game involving the same five cards was advertised as having a winning probability of 0.05. Describe a possible game that would have a probability of 0.05 or close to 0.05
of winning.

Respuesta :

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Answer:

a.) Digits on the 5 cards are 1,2,3,4,5. You pick one card. You win if you pick a card having an even number.

b) Digits on the 5 cards are 1,2,3,4,5. You pick two cards. You win if you pick fist the card having number 5 and then the card having number 4.  

Step-by-step explanation:

a) The probability of picking an even number is:

picking a card with even numbers (picking 2 or 4)  / all cards (1,2,3,4,5)

  • [tex]\frac{2}{5} =0.4[/tex]

b) Probability of picking the card having 5 first

  • [tex]\frac{1}{5}[/tex]

Then the probability of picking the card having number 4 from the remaining 4 cards:

  • [tex]\frac{1}{4}[/tex]

Combined probability, that is picking first number 5 and then number 4 is

  • [tex]\frac{1}{5} *\frac{1}{4} =\frac{1}{20} =0.05[/tex]

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