falafronk

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help!! need help

Semicircles are constructed on AB, AC, and BC. A circle is tangent to all three semicircles. Find the radius of the circle.

falafronk Mar 24, 2024

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Need help

Joanna has seven beads that she wants to assemble into a bracelet. Five of the beads have the same color, and the other two all have different colors. In how many different ways can Joanna assemble her bracelet? (Two bracelets are considered identical read more ..

falafronk Mar 24, 2024

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Help Probability

Raina places the following balls into a bag. She draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 6 orange balls and 6 purple read more ..

falafronk Mar 24, 2024

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Probability

Three cards are randomly drawn from a standard deck of $52$ cards, without replacement. Find the probability that the first card is spades or an Ace, the second card is red, and the third card is a nine.

falafronk Mar 24, 2024

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24

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Counting

Syd chooses two different primes, and multiplies them. If both primes are greater than 4, and the resulting product is less than 600, then how many different products could Syd have ended up with?

falafronk Mar 24, 2024

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help counting

In the array below, in how many different ways can we start with the letter A and move from letter to letter (horizontally, vertically, or diagonally), to spell the word ARCH?
A
RRR read more ..

falafronk Mar 24, 2024

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Counting

Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $2000,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)

falafronk Mar 24, 2024

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31

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Counting

Find the number of ways of choosing three circles below, so that no two circles are next to each other.

falafronk Mar 24, 2024

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25

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Probability

The following cards are split into three piles at random, so that every pile contains the same number of cards. What is the probability that every pile contains an Ace?
There are two queens, two kings, and two aces.

falafronk Mar 24, 2024

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26

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Probability

The numbers $x_1,$ $x_2,$ $x_3,$ $x_4$ are chosen at random in the interval $[0,1].$ Let $I$ be the interval between $x_1$ and $x_2,$ and let $J$ be the interval between $x_3$ and $x_4.$ Find the probability that intervals $I$ and $J$ both have read more ..

falafronk Mar 24, 2024