1. which fractions are equivalent to 25/45. give two examples.

2. which describes independent events?

spinning two fours on a spinner divided into four numbered sections.

selecting two kings from a standard deck of cards by choosing a card at random, placing it in your pocket, then choosing the second card.

selecting two green marbles by choosing one from a bag at random, giving the first to a friend, then choosing another.

selecting the names of two siblings by choosing slips of paper from a hat at random, pinning the selected slip on a bulletin board, and then selecting another.

1) fractions equivalent to 25/45

Any fraction obtaining by multiplying both numerator and denominator by the same quantity will result in an equivalent fraction.

Examples:

- divide both numerator and denominator by 5 => 5/9 is equivalent

- multiply both numerator and denominator by 2 => 50 / 90 is equivalent

- multiply both numerator and denominator by 10 => 250 / 450  is equivalent.

2)
Spinning two fours on a spinner divided into four numbered sections: these are independent events, becasue one result does not influence the other.

Selecting two kings from a standard deck of cards by choosing a card at random, placing it in your pocket, then choosing the second card: they are not independent, because if the first card is a king the probability of the second card will be different than if the first card is not a king.

Selecting two green marbles by choosing one from a bag at random, giving the first to a friend, then choosing another: they are not independent because whether the first two marbles are green or not, make the probabilities for the second event different.

Selecting the names of two siblings by choosing slips of paper from a hat at random, pinning the selected slip on a bulletin board, and then selecting another.: they are not independent, by similar reason explainded in the two previos options.

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