Acarnival game allows a group of players to each draw and keep a marble from a bag. the bag contains 5 gold marbles, 25 silver marbles, and 70 red marbles. a player wins a large prize for drawing a gold marble and a small prize for drawing a silver marble. there is no prize for drawing a red marble. at the start of the game, the probability of winning a large prize is 0.05 and the probability of winning a small prize is 0.25. suppose that the first player draws a silver marble and wins a small prize. what is the probability that the second player will also win a small prize? if a group of four plays the game one at a time and everyone wins a small prize, which player had the greatest probability of winning a large prize? how could the game be made fair for each player? that is, how could you change the game so that each player has an equal chance of winning a prize?

It is given that:

The bag contains 5 gold marbles, 25 silver marbles, and 70 red marbles.

Ques 1)

We are asked to find the probability that the second player will also win a small prize given that the first player wins a small prize.

That is we need to find the conditional probability.

Let A denote the event that first player wins the small prize.

B denote the vent that the second player wins the small prize.

A∩B denote the event that both the player wins the small prize.

Let P denote the probability of an event.

We are asked to find:

P(B|A)

Now we know that:

( Since out of 100 marbles 25 are silver)

Also,

Hence,

Hence, the probability that the second player will also win a small prize is:

0.242424

Ques 2)

The probability that the first player will win a large prize is:

5/100

( But the first player draws a silver marble and wins)

The probability that the second player will win a large prize is:

5/99

( Since one marble has been taken out by the first player so the second player is left with 99 choices and here also the second player draws a silver and wins the game)

Similarly,

The probability that the third player will win a large prize is:

5/98

( Since one more marble has been taken out by the second player so the third player is left with 98 choices and here also the third player draws a silver and wins the game)

The probability that the fourth player will win a large prize is:

5/97

Hence, the greatest probability of winning a gold marble is by:

Player 4. ( Since, 5/97 is greater than the rest three probabilities)

Ques 3)

The game can be made fair for each player if all have the equal choices of drawing a marble and this can be done by replacing the marbles that have been drawn out by the previous player.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.

explanation:

step-by-step explanation: