Please help with probability

Step-by-step explanation:

2. The total number of calculators is 6 + 9 + 2 = 17.

When she hands out the first calculator, the probability that it is blue is 2/17.

When she hands out the second calculator, there is one less calculator total, so the probability that it is yellow is 9/16.

The probability of both is therefore:

P = 2/17 × 9/16

P = 9/136

3. There are 13 clubs in a standard deck of 52 cards.

The probability that the first card is clubs is 13/52 = 1/4.

Since you replace the card, there are still 52 cards in the deck.  So the probability that the second card is clubs is 13/52 = 1/4.

The probability that both cards are clubs is:

P = 1/4 × 1/4

P = 1/16

4. The total number of pieces of gum is 6 + 9 + 5 = 20.

When you pick the first piece, the probability that it is grape is 6/20.

When you pick the second piece, there's one less piece of gum, and one less grape flavor, so the probability is 5/19.

The probability that both pieces are grape is:

P = 6/20 × 5/19

P = 3/38

5. The total number of drinks is 6 + 3 + 4 = 13.

Since the coach replaces the first drink, the second selection will be independent of the first.  So the probability is still P = 6/13.

6. A die has six sides.  They are numbered 1 through 6.  Three of the numbers are even.  Each roll is independent, so the probability of a previous roll does not affect the probability of future rolls.

The probability that you get 3 even numbers, followed by a one, is:

P = (3/6) (3/6) (3/6) (1/6)

P = 1/48

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.