[tex] \huge \tt ANSWERS:[/tex]
[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]
1. A card is drawn from a deck of 52 playing cards. Find the probability of getting a red card.
• Out of 52 playing cards, half of them are red and the others are black. Thus, there are 26 red cards.
[tex] \frac{26}{52} \div \frac{26}{26} = \frac{1}{2} \\ [/tex]
• The answer is letter c.
[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]
2. Josh likes to wear colored shirts. He has 10 shirts in the closet. Three of these are blue, four are in different shades of red, and the rest are mixed of different colors. What is the probability that he will wear a blue or a red shirt?
• Out of 10 shirts, there are 3 blues and one red. The probability to get a blue is [tex] \frac{3}{10} [/tex] and the probability to get a red is [tex] \frac{4}{10} [/tex]. Thus, the probabilities should be combined.
[tex] \frac{3}{10} + \frac{4}{10} = \frac{7}{10} \\ [/tex]
• The answer is letter c.
[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]
3. A baby has 5 blocks in a box. One block is red, one is yellow, one is green, one is blue, and one is black. The baby pulls put a block, looks at it, and puts it back in the box. If he does this 4 times before he gets bored and crawls away, what is the probability that the 4 blocks selected are all of the same color?
• There are one block for each of the given 5 colors. Thus, the probability to get one of the 5 blocks is [tex] \frac{1}{5} [/tex].
• To get the probability of 4 blocks selected in which all have the same color, you need to multiply [tex] \frac{1}{5} [/tex] by itself four times.
[tex] \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} = \frac{1}{5 {}^{4} } \\ [/tex]
• The answer is letter c.
[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]
