008 So, the probability of tossing a head and then rolling a 6 is about 0.083. 1

Question

008 So, the probability of tossing a head and then rolling a 6 is about 0.083. 1. The probability that a salmon swims successfully through a dam is 0.85. Find 2. Two cards are selected from a standard deck of 52 playing cards without Try It Yourself 3 the probability that two salmon swim successfully through the dam. replacement. Find the probability that they are both hearts. a. Determine whether the events are independent or dependent. e b. Use the Multiplication Rule to find the probability.Ansiwer Page A3o

Explanation / Answer

1. The probability that the first salmon swims successfully = 0.85.

The probability that the second salmon swims successfully = 0.85.

a. Since the success of each salmon swimming successfully does not depend on the second, the events are independent.

b. The probability that both salmons swim successfully = 0.85 * 0.85 = 0.7225.

2. There are 13 hearts.

The probability that the first card is a heart = 13/52 .

After drawing one card, if it is a heart, there are 12 hearts left out of 13.

Probability that the second card is also a heart = 12/51.

a. Since the probability of the second event depends on the first, the two events are not independent.

b. Probability that both cars are hearts = 13/52 * 12/51 = 0.0588.

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