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Mathematics, 12.05.2021 03:30 21hendlill

Please help 1. A fair die is rolled twice. What is the probability that the first roll will result in an even number and the second will
land on 2?

2. In drawing one card from a deck of cards, what is the probability of getting a non-picture, red card?

3. A quarter is tossed three times. If the experiment is repeated 176 times, what is the expected number of times that
tails will show exactly once?

4. A fair die is rolled twice. If this experiment is repeated 360 times, what is the expected number of times that the
sum of the two rolls is 11?

5. A select group of 120 families were asked to indicate how many children they have. The highest number of children
for any one family is 6. The results are as follows:

Number of
Children Frequency
0 9
1 23
2 36
3 27
4 15
5 6
6 4
What is the probability that a randomly selected family has fewer than 3 children?
What is the probability that a randomly selected family has 5 or 6 children?

6. An ordinary die is rolled twice. What is the probability that the first roll will show a 1 or 2, and the second roll will
show a 6?

7. In drawing two cards from a deck of cards, one at a time, with replacement of the first card, prior to drawing the
second card, what is the probability of drawing two picture cards?

8. In drawing two cards from a deck of cards, one at a time, with replacement of the first card, prior to drawing the
second card, what is the probability of drawing a jack or a queen, followed by a diamond?

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