134k views
3 votes
Please help with probability

Please help with probability-example-1
User Gcamp
by
8.4k points

1 Answer

0 votes

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

User Demorge
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories