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Kamila [148]
3 years ago
15

In a game, a participant is given three attempts to hit a ball. On each try, she either scores a hit, H, or a miss, M. The game

requires that the player must alternate which hand she uses in successive attempts. That is, if she makes her first attempt with her right hand, she must use her left hand for the second attempt and her right hand for the third. Her chance of scoring a hit with her right hand is 0.9 and with her left hand is 0.4. Assume that the results of successive attempts are independent and that she wins the game if she scores at least two hits in a row. If she makes her first attempt with her right hand, what is the probability that she wins the game?
Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

chancing for wining is 54%.

Step-by-step explanation:

possible outcomes can be given as

HHH *

HHM *

HMH

MHH *

HMM

MHM

MMH

MMM

Out of those, only 3 will have the participant win the game:

HHH, HHM, MHH.

Probability (HHH) + Probability (HHM) + Probability (MHH)

since attempts are independant.

Probability (HHH) = 0.9 *0.4 *0.9 = 0.324

Probability (HHM) = 0.9 *0.4 *0.3 = 0.108

Probability (MHH) = 0.3 *0.4 *0.9 = 0.108

Add them up and get  = (0.324+ 0.108+0.108) = 0.54

hence, chancing for wining is 54%.

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Each table shows a proportional relationship between x and y, Match each table with its constant of proportionality
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20, 40, 0.2, 0.6

Step-by-step explanation:

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16 2/5 - 9 2/3 = show work
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Answer:

Conversion a mixed number 16 3

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to a improper fraction: 16 3/8 = 16 3

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= 16 · 8 + 3

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= 128 + 3

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To find new numerator:

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b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131

c) Write previous answer (new numerator 131) over the denominator 8.

Sixteen and three eighths is one hundred thirty-one eighths

Conversion a mixed number 9 5

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to a improper fraction: 9 5/8 = 9 5

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= 72 + 5

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To find new numerator:

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b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77

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The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. Cancelling by a common factor of 2 gives 27

4

.

In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.

Step-by-step explanation:

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