To find the probability that all 3 coins will land with heads showing or all 3 coins will land with tails showing, we need to add the probabilities of getting 3 heads and 3 tails from the given experimental data.
From the table, we see that the frequency of getting 3 heads is 8 and the frequency of getting 3 tails is 13.
The total number of trials is 72.
So, the probability of getting 3 heads is 8/72 = 1/9 and the probability of getting 3 tails is 13/72.
Therefore, the total probability of getting either all 3 heads or all 3 tails is:
1/9 + 13/72 = 8/72 + 13/72 = 21/72 = 7/24
So, the probability that all 3 coins will land with heads showing or all 3 coins will land with tails showing is 7/24.
Jeannie flipped three coins and recorded the faces showing. She completed 72 trials. The experimental data is shown in the table.%0D%0A%0D%0A %0D%0A %0D%0AProbability Experiment with 3 Coins%0D%0AFaces Showing on Coins%09Frequency%0D%0A 3 heads%09 8%0D%0A 2 heads, 1 tail%0923%0D%0A 1 head, 2 tails%0928%0D%0A 3 tails%0913%0D%0A%0D%0AJeannie will flip the 3 coins one more time. Based on the data in the table, what is the probability that all 3 coins will land with heads showing or that all 3 coins will land with tails showing?
1 answer